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## Q.1. A plane is observed to be approaching the airport. It is at a distance of 12 km from the point of observation and makes an angle of elevation of 60°. The height above the ground of the plane is

(a) 6√3 m

(b) 4√3 m

(c) 3√3 m

(d) 2√3 m

(a) 6√3 m

## Q.2. When the sun’s altitude changes from 30° to 60°, the length of the shadow of a tower decreases by 70m. What is the height of the tower?

(a) 35 m

(b) 140 m

(c) 60.6 m

(d) 20.2 m

(c) 60.6 m

## Q.3. The …………….. of an object is the angle formed by the line of sight with the horizontal when the object is below the horizontal level.

(a) line of sight

(b) angle of elevation

(c) angle of depression

(d) none of these

(c) angle of depression

## Q.4. A 20 m long ladder touches the wall at a height of 10 m. The angle which the ladder makes with the horizontal is

(a) 450

(b) 300

(c) 900

(d) 600

(b) 300

## Q.5. The upper part of a tree is broken by the wind and makes an angle of 30° with the ground. The distance from the foot of the tree to the point where the top touches the ground is 5 m. The height of the tree is

(a) 10√33 m

(b) 5√33 m

(c) √3 m

(d) √3/5 m

(b) 5√33 m

## Q.6. The line drawn from the eye of an observer to the point in the object viewed by the observer is known as

(a) horizontal line

(b) vertical line

(c) line of sight

(d) transversal line

(c) line of sight

## Q.7. The angle of depression of a car, standing on the ground, from the top of a 75 m high tower, is 30°. The distance of the car from the base of the tower (in m) is:

(a) 25√3

(b) 50√3

(c) 75√3

(d) 150

(c) 75√3

## Q.8. The angles of elevation of the top of a rock from the top and foot of 100 m high tower are respectively 30° and 45°. The height of the rock is

(a) 50 m

(b) 150 m

(c) 5o√3m

(d) 50(3 + √3)

(d) 50(3 + √3)

## Q.9. When the length of shadow of a vertical pole is equal to √3 times of its height, the angle of elevation of the Sun’s altitude is

(a) 30°

(b) 45°

(c) 60°

(d) 15°

(a) 30°

## Q.10. The angle of elevation of top of a tower from a point on the ground, which is 30 m away from the foot of the tower is 30°. The length of the tower is

(a) √3 m

(b) 2√3 m

(c) 5√3m

(d) 10√3 m

(d) 10√3 m

## Q.11. The shadow of a tower is equal to its height at 10-45 a.m. The sun’s altitude is

(a) 30°

(b) 45°

(c) 60°

(d) 90°

(b) 45°

## Q.12. Guddi was standing on a road near a mall. She was 1000m away from the mall and able to see the top of the mall from the road in such a way that top of the tree, which is in between her and the mall, was exactly in line of sight with the top of the mall. The tree height is 10m and it is 20m away from Guddi. How tall is the mall?

(a) 453m

(b) 856m

(c) 290m

(d) 470m

(d) 470m

## Q.13. A tower stands vertically on the ground. From a point C on the ground, which is 20 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 450. The height of the tower is

(a) 15 m

(b) 8 m

(c) 20 m

(d) 10 m

(a) 15 m

## Q.14. The tops of two poles of heights 20 m and 14 m are connected by a wire. If the wire makes an angle of 30° with the horizontal, then the length of the wire is

(a) 8 m

(b) 10 m

(c) 12 m

(d) 14 m

(c) 12 m

## Q.15. The angle of elevation of the top of a tower from a point 20 metres away from its base is 45°. The height of the tower is

(a) 10 m

(b) 20 m

(c) 30 m

(d) 20√3 m

(b) 20 m

## Q.16. The angle of elevation of the sun, when the length of the shadow of a tree is equal to the height of the tree, is:

(a) 45°

(b) 60°

(c) 30°

(d) None of these

(a) 45°

## Q.17. If two towers of heights h_{1} and h_{2} subtend angles of 60° and 30° respectively at the mid-point of the line joining their feet, then h_{1} : h_{2} =

(a) 1 : 2

(b) 1 : 3

(c) 2 : 1

(d) 3 : 1

(c) 30 m

## Q.18. An observer 1.5m tall is 23.5m away from a tower 25m high. The angle of elevation of the top of the tower from the eye of the observer is

(a) 30°

(b) 45°

(c) 60°

(d) none of these

(b) 45°

## Q.19. In given figure, ABCD is a || gm. The lenght of AP is

(a) 2 cm

(b) 4 cm

(c) 6 cm

(d) 8 cm

(c) 6 cm

## Q.20. In figure given ABCD is a rectangle, the value of CE is

(a) 1 cm

(b) 2 cm

(c) 3 cm

(d) 4 cm

(d) 4 cm

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