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Class 10 Maths Chapter 9 Some Applications Of Trigonometry Quiz 1 (25 MCQs)

Quiz Instructions

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1. The ratio of the length of a rod and its shadow is $1:\sqrt{3}$
2. The angle of depression from the top of a tower to moving vehicle in a straight line towards the tower will keep on .....
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
4. When the length of the shadow of a pillar is equal to its height, the elevation of the source of light is:
5. Line of sight is the line drawn from the eye of an observer to the .....
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.
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
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
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.
10. A right triangle is a
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.
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
13. Fourier series is a mathematical tool used to:
14. If the gradient of a ramp is 1:5, find the inclination of the ramp, correct to 3 significant figures.
15. A sound wave has a frequency of 500 Hz. What is the period of the wave?
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
17. A triangle has sides 6, 8, and included angle 60$^\circ$. What formula should you use?
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?
19. The line drawn from the eye of an observer to the point in the object viewed by the observer
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?
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?
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?
23. If tanx = Sin45$^\circ$Cos45$^\circ$+Sin30$^\circ$ then x equals:
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 .....
25. A person is standing 50 metres away from a tree. The angle of elevation to the top of the tree is $30^\circ$
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