This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Some Applications Of Trigonometry > Class 10 Maths Chapter 9 Some Applications Of Trigonometry – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 9 Some Applications Of Trigonometry Quiz 1 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The ratio of the length of a rod and its shadow is $1:\sqrt{3}$ A) 90. B) 30. C) 60. D) 45. Show Answer Correct Answer: B) 30. 2. The angle of depression from the top of a tower to moving vehicle in a straight line towards the tower will keep on ..... A) Decreasing. B) Increasing. C) Will not change. D) Cannot say. Show Answer Correct Answer: B) Increasing. 3. Say 'TRUE' or 'FALSE'If the length of the shadow of tower is increasing, then the angle of elevation of the sun is also increasing A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: B) FALSE. 4. When the length of the shadow of a pillar is equal to its height, the elevation of the source of light is: A) 45. B) 90. C) 60. D) 30. Show Answer Correct Answer: A) 45. 5. Line of sight is the line drawn from the eye of an observer to the ..... A) Point on the object viewed by the observer. B) Top of the object. C) Point below the object. D) Point above the object. Show Answer Correct Answer: A) Point on the object viewed by the observer. 6. The angle of elevation of a point viewed is the angle formed by the ..... with the horizontal when the point being viewed is ..... the horizontal. A) Sight, below. B) Line of sight, below. C) Line of sight, above. D) Sight, above. Show Answer Correct Answer: C) Line of sight, above. 7. The angle of inclination to the top of a tower from a moving vehicle in a straight line away from the tower will keep on A) Can not say (insufficient information). B) Increasing. C) Decreasing. D) Will remain same. Show Answer Correct Answer: C) Decreasing. 8. An observer 1.5 m tall is 28.5maway from a tower. The angle of elevation of the top of the tower from her eyes is 45 degrees. The height of the tower in metre is A) 30. B) 28.5. C) 28. D) 32. Show Answer Correct Answer: A) 30. 9. A, B and C are three points. A is 75 km due north of C and B is 30 km due west of C. Find the compass bearing of B from A, correct to 3 significant figures. A) N21.8$^\circ$E. B) S68.2$^\circ$W. C) N68.2$^\circ$E. D) S21.8$^\circ$W. Show Answer Correct Answer: D) S21.8$^\circ$W. 10. A right triangle is a A) A triangle with two right angles. B) A triangle with an obtuse triangle. C) A quadrilateral with one right angle. D) A triangle with one right angle. Show Answer Correct Answer: D) A triangle with one right angle. 11. A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car as an angle of depression of 30$^\circ$, which is approaching the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the car is found to be 60$^\circ$. Find the time taken by the car to reach the foot of the tower from this point. A) 5 seconds. B) 2 seconds. C) 4 seconds. D) 3 seconds. Show Answer Correct Answer: D) 3 seconds. 12. A 1.6 m tall girl stands at a distance of 3.2 m from a lamp post and casts a shadow of 4.8 m on the ground, then the height of the lamp post is A) 8/3. B) 3/8. C) 8/ root3. D) 8/13. Show Answer Correct Answer: A) 8/3. 13. Fourier series is a mathematical tool used to: A) Perform geometric constructions. B) Calculate derivatives. C) Solve linear equations. D) Approximate periodic functions. Show Answer Correct Answer: D) Approximate periodic functions. 14. If the gradient of a ramp is 1:5, find the inclination of the ramp, correct to 3 significant figures. A) 78.5$^\circ$. B) 11.3$^\circ$. C) 11.5$^\circ$. D) 78.7$^\circ$. Show Answer Correct Answer: B) 11.3$^\circ$. 15. A sound wave has a frequency of 500 Hz. What is the period of the wave? A) 0.002 s. B) 2 ms. C) 0.5 s. D) 2000 s. Show Answer Correct Answer: A) 0.002 s. 16. The angle of depression of a point on the object being viewed is the angle formed by the line of sight with the horizontal when the point is ..... the horizontal level A) Above. B) Below. C) All the above. D) None of the above. Show Answer Correct Answer: B) Below. 17. A triangle has sides 6, 8, and included angle 60$^\circ$. What formula should you use? A) Law of Cosines. B) Pythagorean Theorem. C) SOH-CAH-TOA. D) Law of Sines. Show Answer Correct Answer: A) Law of Cosines. 18. Kevin leans a 16 foot ladder l against a building. If the angle the ladder makes with the ground is 68$^\circ$, how high up the building does the ladder reach? A) 39.6. B) 6.0. C) 14.8. D) 13.6. Show Answer Correct Answer: C) 14.8. 19. The line drawn from the eye of an observer to the point in the object viewed by the observer A) Line of sight. B) Horizontal line. C) All the above. D) None of the above. Show Answer Correct Answer: A) Line of sight. 20. You are attacking an enemy castle. Your strategy is to go over the castle wall. You are 1500 meters away from the bottom of the wall. You measure the angle of elevation to the top of the wall at 3$^{o}$. How tall is the enemy castle wall? A) 1498.0 meters. B) 78.5 meters. C) 75.3 meters. D) 78.6 meters. Show Answer Correct Answer: D) 78.6 meters. 21. If the length of the tower and its shadow is equal at a particular point of time, what is the sun's altitude at that particular time? A) 60$^{0}$. B) 45$^{0}$. C) 30$^{0}$. D) 90$^{0}$. Show Answer Correct Answer: B) 45$^{0}$. 22. Jordan is stuck at the top of a Ferris wheel. Her mother is standing 38 feet from the base of the wheel watching her. If the angle of elevation from Jordan's mom to Jordan is 73$^{o}$, how far off the ground is Jordan? A) 124.3 ft. B) 118.2 ft. C) 120.9 ft. D) 126.5 ft. Show Answer Correct Answer: A) 124.3 ft. 23. If tanx = Sin45$^\circ$Cos45$^\circ$+Sin30$^\circ$ then x equals: A) 45$^\circ$. B) 90$^\circ$. C) 1/2. D) 30$^\circ$. Show Answer Correct Answer: A) 45$^\circ$. 24. The angle of elevation of the top of a tower is 30$^\circ$. If the height of the tower is doubled then the angle of elevation of the top will be ..... A) No change:30$^\circ$. B) Will be doubled:60$^\circ$. C) Will become 45$^\circ$. D) None of the above. Show Answer Correct Answer: A) No change:30$^\circ$. 25. A person is standing 50 metres away from a tree. The angle of elevation to the top of the tree is $30^\circ$ A) 25 metres. B) 50 metres. C) 28.87 metres. D) 43.3 metres. Show Answer Correct Answer: C) 28.87 metres. 26. When the angle of elevation of the sun is 78 degrees, an statue casts a shadow that is 6m long. What trig function would you use to determine how the top of the statue is from the end of its shadow? A) Sine. B) Cocosine. C) Tangent. D) Cotangent. E) Cosine. Show Answer Correct Answer: E) Cosine. 27. You know two angles and one side of a triangle. What law should you use? A) Law of Cosines. B) Law of Sines. C) Pythagorean Theorem. D) SOH-CAH-TOA. Show Answer Correct Answer: B) Law of Sines. 28. Line joining an eye and the object to be viewed is called A) Horizontal. B) Line of sight. C) Vertical line. D) None of these. Show Answer Correct Answer: B) Line of sight. 29. The angle of elevation and angle of depression represent which angle pair formed by parallel lines cut by a transversal? A) Corresponding angles. B) Alternate interior angles. C) Vertically opposite angles. D) Alternate exterior angles. Show Answer Correct Answer: B) Alternate interior angles. 30. It is given that the gradient of a straight road is $\frac{1}{9}$ A) 6 m. B) 9 m. C) 18 m. D) 3 m. Show Answer Correct Answer: A) 6 m. 31. The height of a tree is square root 3 times the length of its shadow. Find the angle of elevation of the sun A) 30$^\circ$. B) 60$^\circ$. C) 45$^\circ$. D) None of theseTagsApplication to trigonometry. Show Answer Correct Answer: B) 60$^\circ$. 32. In a right triangle, what is true of angles A and B? A) They are supplementary. B) They are both 90$^\circ$. C) They are congruent. D) They are complementary. Show Answer Correct Answer: D) They are complementary. 33. The pitch of a sound wave is primarily determined by its: A) Amplitude. B) Frequency. C) Wavelength. D) Speed. Show Answer Correct Answer: B) Frequency. 34. If height of the tower = shadow of the tower, then angle of elevation is A) 45. B) 60. C) 90. D) 30. Show Answer Correct Answer: A) 45. 35. The speed of sound in air is approximately: A) 760 m/s. B) 3, 000 m/s. C) 340 m/s. D) 1, 000 m/s. Show Answer Correct Answer: C) 340 m/s. 36. A person is looking at the top of a building at an angle of elevation of $45^\circ$ A) 20 metres. B) 40 metres. C) 14.14 metres. D) 28.28 metres. Show Answer Correct Answer: A) 20 metres. 37. The angle of elevation of the top of a tower from a point on the ground which is 30 m away from the foot of the tower is 30, then height of tower is A) 10/root3. B) 3root10. C) 10root3. D) 10. Show Answer Correct Answer: D) 10. 38. The length of the shadow of a 4 m high vertical pole on the level ground at an instant when the sun elevation is 60$^\circ$ is ..... A) 2. B) 4. C) 4 $\sqrt{3}$. D) $\frac{4}{\sqrt{3}}$. Show Answer Correct Answer: D) $\frac{4}{\sqrt{3}}$. 39. If height and distance is same, then what will be the angle formed between horizontal line and line of sight A) 60 deg. B) 45 deg. C) 90 deg. D) 30 deg. Show Answer Correct Answer: B) 45 deg. 40. The ..... of an object can be determined with the help of trigonometric ratios. A) Weight. B) Price. C) Height. D) Shape. Show Answer Correct Answer: C) Height. 41. Please select the correct solution cot$^{ 2 }$x + 1 =$^{ }$ A) Sec$^{ 2 }$x-1. B) Sec$^{ 2 }$x. C) 1. D) Csc$^{ 2 }$x. Show Answer Correct Answer: D) Csc$^{ 2 }$x. 42. What is the saying we use to remember the trig functions? A) SAH COH TAO. B) SOH COH TOH. C) COH SAH TOA. D) SOH CAH TOA. Show Answer Correct Answer: D) SOH CAH TOA. 43. What is the ratio for cosine of an angle? A) OPPOSITE SIDE OF THE GIVEN ANGLE / ADJACENT SIDE. B) ADJACENT SIDE OF THE GIVEN ANGLE / HYPOTENUSE. C) OPPOSITE SIDE OF THE GIVEN ANGLE /HYPOTENUSE. D) ADJACENT SIDE OF THE GIVEN ANGLE / OPPOSITE SIDE. Show Answer Correct Answer: B) ADJACENT SIDE OF THE GIVEN ANGLE / HYPOTENUSE. 44. A flagpole casts a shadow of 15 meters when the angle of elevation of the sun is $60^\circ$ A) Cocosine. B) Cotangent. C) Tangent. D) Cosine. E) Sine. Show Answer Correct Answer: C) Tangent. 45. The upper part of a tree, broken over by the wind, makes an angle of 45$^{o}$ with the ground and the distance from the root to the point where the top of the tree touches the ground is 15 m. At What height above the ground the tree is broken . A) 60 mTagsApplication to trigonometry. B) 15 m. C) 30 m. D) 45 m. Show Answer Correct Answer: B) 15 m. 46. If the height of tower is half the height of the flagstaff on it and the angle of elevation of the top of the tower as seen from a point on the ground is 30, then the angle of elevation of the top of the flagstaff as seen from the same point is A) 90. B) 60. C) 45. D) 30. Show Answer Correct Answer: C) 45. 47. When the angle of elevation of the sun is 78 degrees, an statue casts a shadow that is 6m long. How far is the top of the statue to the end of its shadow? A) 2 m. B) 6.1 m. C) 28.2 m. D) 28.9 m. Show Answer Correct Answer: D) 28.9 m. 48. Express the true bearing 330$^\circ$ as compass bearing. A) N30$^\circ$W. B) N60$^\circ$W. C) N30$^\circ$E. D) 30$^\circ$. Show Answer Correct Answer: A) N30$^\circ$W. 49. Why wouldn't you use SOH-CAH-TOA in a triangle with no right angle? A) It's too slow. B) It only works in right triangles. C) It's not for acute angles. D) You always use Law of Sines. Show Answer Correct Answer: B) It only works in right triangles. 50. If SinA=1/2 and CosA=1/2 then A+B is equal to: A) 0$^\circ$. B) 90$^\circ$. C) 30$^\circ$. D) 60$^\circ$. Show Answer Correct Answer: B) 90$^\circ$. 51. SinA = CosA for what value of A? A) A=45$^\circ$. B) A=30$^\circ$. C) A=90$^\circ$. D) A=60$^\circ$. Show Answer Correct Answer: A) A=45$^\circ$. 52. The ..... of the point is viewed is the angle formed by the line of sight with the horizontal when the point being viewed is above the horizontal level A) Angle of depression. B) Angle of elevation. C) All the above. D) None of the above. Show Answer Correct Answer: B) Angle of elevation. 53. Which ratio is used to find the adjacent side in a right triangle? A) Sine. B) Tangent. C) Cosine. D) Secant. Show Answer Correct Answer: C) Cosine. 54. If you are given the length of a hypotenuse and the length of an adjacent side, what trigonometry ratio could you use . A) Trigonometry. B) Cosine. C) Tangent. D) Sine. Show Answer Correct Answer: B) Cosine. 55. Find height of the tower if length of shadow = 10 m and sun's altitude = 45 A) 10. B) 12. C) 20. D) None of the above. Show Answer Correct Answer: A) 10. 56. Which trig function equals opposite over hypotenuse? A) Sine. B) Cosine. C) Cotangent. D) Tangent. Show Answer Correct Answer: A) Sine. 57. What type of triangle is the context of our study of trigonometry? A) Acute triangle. B) Isosceles triangle. C) Right triangle. D) Scalene triangle. Show Answer Correct Answer: C) Right triangle. 58. Please select the correct solution tan$^{ 2 }$x-sec$^{ 2 }$x =$^{ }$ A) -1. B) Sec$^{ 2 }$x-1. C) 1. D) 1-csc$^{ 2 }$x. Show Answer Correct Answer: A) -1. 59. The ratio of the length of the side opposite of the angle to the length of the hypotenuse is the ..... A) Sine. B) Cosine. C) Tangent. D) None of the above. Show Answer Correct Answer: A) Sine. 60. The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide? A) 14 feet. B) 10 feet. C) 5.29 feet. D) 8 feet. Show Answer Correct Answer: B) 10 feet. Next →Related QuizzesMathematics QuizzesClass 10 QuizzesClass 10 Maths Chapter 9 Some Applications Of Trigonometry Quiz 2 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books