1000+ Height and Distance Questions for Competitive Exams Pdf - 1

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 m smaller. The value of x is

(A) 100 m

(B) 100 $$√3$$ m

(C) $${100}/{3}$$

(D) 100($$√3$$ - 1) m

Ans: D

Question: 2

A person standing on the bank of a river observes that the angle subtended by a tree on the opposite bank is 60°. When he retires 40 m from the bank, he finds the angle to be 30°. The breadth of the river is

(A) 20 m

(B) 30 m

(C) 40 m

(D) 60 m

Ans: A

Question: 3

The angle of elevation of the top of a tower at a point G on the ground is 30°. On walking 20 m towards the tower, the angle of elevation beomes 60°. The height of the tower is equal to

(A) $${10}/{√3}$$ m

(B) $${20}/{√3}$$ m

(C) 10$$√3$$ m

(D) 20$$√3$$ m

Ans: C

Question: 4

From the top of a 25 m high, cliff the angle of elevation of a tower is found to be equal to the angle of depression of the foot of the tower. Find out the height of the tower.

(A) 40 m

(B) 50 m

(C) 52 m

(D) 60 m

Ans: B

Question: 5

The angle of elevation of moon when the length of the shadow of a pole is equal to its height is

(A) 30°

(B) 40°

(C) 45°

(D) 60°

Ans: C