# Height And Distance – Aptitude MCQ Questions – 04

Question 1
The height of a tower is 100 m. When the angle of elevation of the sun changes from 30° to 45°, the shadow of the tower becomes x metres less. The value of x is

 A. 100m B. 100√3 m C. 100(√3−1)m D. 100/√3 m

Question 2

The ratio of the length of a rod and its shadow is 1 : 3  The angle of elevation of the sum is

 A. 30° B. 45° C. 60° D. 90°

Question 3
The tops of two poles of height 20 m and 14 m are connected by a wire. If the wire makes an angle of 30° with horizontal, then the length of the wire is

 A. 12 m B. 10 m C. 8 m D. 6 m

Question 4
A lower subtends an angle of 30° at a point on the same level as its foot. At a second point h metres above the first, the depression of the foot of the tower is 60°. The height of the tower is

 A. h/2 m B. √3 h m C. h/3 m D. h/√3 m

Question 5
The tops of two poles of height 16 m and 10 m are connected by a wire of length l metres. If the wire makes an angle of 30° with the horizontal, then l =

 A. 26 B. 16 C. 12 D. 10

Question 6

A ladder makes an angle of 60° with the ground when placed against a wall. If the foot of the ladder is 2 m away from the wall, then the length of the ladder (in metres) is

 A. 4/√3 B. 4√3 C. 2√2 D. 4

Question 7
If the altitude of the sun is at 60?, then the height of the vertical tower that will cast a shadow of length 30 m is

 A. 30√3 m B. 15m C. 30/√3 m D. 15√2 m

Question 8
The angle of elevation of the top of a tower standing on a horizontal plane from a point A is α. After walking a distance 'd' towards the foot of the tower the angle of elevation is found to be β. The height of the tower is

 A. d/cotα+cotβ B. d/cotα−cotβ C. d/tanβ−tantα D. d/tanβ+tantα

Question 9
The angle of depression of a car parked on the road from the top of a 150 m high tower is 30°. The distance of the car from the tower (in metres) is

 A. 50√3 B. 150√3 C. 100√3 D. 75

Question 10
It is found that on walking x metres towards a chimney in a horizontal line through its base, the elevation of its top changes from 30° to 60° . The height of the chimney is

 A. 3√2 x B. 2√3 x C. √3/2x D. √2/3x