This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 9 Some Applications Of Trigonometry β Quiz 3 π Homepage π Download PDF Books π Premium PDF Books Class 10 Maths Chapter 9 Some Applications Of Trigonometry Quiz 3 (19 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. SinA = CosA for what value of A? A) A=90$^\circ$. B) A=60$^\circ$. C) A=45$^\circ$. D) A=30$^\circ$. Show Answer Correct Answer: C) A=45$^\circ$. 2. 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. 3. Which ratio is used to find the adjacent side in a right triangle? A) Tangent. B) Sine. C) Cosine. D) Secant. Show Answer Correct Answer: C) Cosine. 4. If you are given the length of a hypotenuse and the length of an adjacent side, what trigonometry ratio could you use . A) Sine. B) Cosine. C) Tangent. D) Trigonometry. Show Answer Correct Answer: B) Cosine. 5. 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. 6. The line drawn from the eye of an observer to the point in the object viewed by the observer is said to be A) ANGLE OF ELEVATION. B) PARALLEL LINE. C) LINE OF SIGHT. D) PERPENDICULAR LINE. Show Answer Correct Answer: C) LINE OF SIGHT. 7. Which trig function equals opposite over hypotenuse? A) Cosine. B) Tangent. C) Sine. D) Cotangent. Show Answer Correct Answer: C) Sine. 8. What type of triangle is the context of our study of trigonometry? A) Right triangle. B) Isosceles triangle. C) Scalene triangle. D) Acute triangle. Show Answer Correct Answer: A) Right triangle. 9. Please select the correct solution tan$^{ 2 }$x-sec$^{ 2 }$x =$^{ }$ A) Sec$^{ 2 }$x-1. B) -1. C) 1. D) 1-csc$^{ 2 }$x. Show Answer Correct Answer: B) -1. 10. 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. 11. 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) 8 feet. B) 5.29 feet. C) 10 feet. D) 14 feet. Show Answer Correct Answer: C) 10 feet. 12. In a Fourier series, the fundamental frequency is also known as Period. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 13. A and B are two points. If the angle of elevation of B from A is 33$^\circ$, find the angle of depression of A from B. A) 33$^\circ$. B) 57$^\circ$. C) 67$^\circ$. D) 123$^\circ$. Show Answer Correct Answer: A) 33$^\circ$. 14. You're given all three sides of a triangle. What do you use to find an angle? A) Law of Sines. B) SOH-CAH-TOA. C) Law of Cosines. D) Complementary Angles. Show Answer Correct Answer: C) Law of Cosines. 15. The angle of elevation of the top a building from the foot of the tower is 30and the angle of elevation of the top of the tower from the foot of the building is 60. If the tower is 50 m high, then the height of the building is A) 50. B) 50/3. C) 50root3. D) 50/root3. Show Answer Correct Answer: B) 50/3. 16. The ratio in a right triangle of adjacent to hypotenuse is ..... A) Sine. B) Cosine. C) Tangent. D) Inverse cosine. Show Answer Correct Answer: B) Cosine. 17. The coefficients in a Fourier series represent: A) The frequency components of the periodic function. B) The amplitude components of the periodic function. C) The phase components of the periodic function. D) The time components of the periodic function. Show Answer Correct Answer: B) The amplitude components of the periodic function. 18. Say 'TRUE' or 'FALSE'If both the height of the pole and the distance of the point of observation from the foot are increased by the same length, the angle of elevation of its top remains unchanged A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: B) FALSE. 19. The angle formed by the line of sight with the horizontal when the point being viewed is above the horizontal level is called: A) VERTICALLY OPPOSITE ANGLE. B) ANGLE OF ELEVATION. C) COMPLEMENTARY ANGLE. D) ADJACENT ANGLE. 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