1000+ Height and Distance Questions for JEE MAINS - 1

Question: 1

A ladder learning against a wall makes an angle of 60° with the ground. If the length of the ladder is 19 m, find the distance of the foot of the ladder from the wall.

(A) 6.5 m

(B) 7.5 m

(C) 8.5 m

(D) 9.5 m

Ans: D

Question: 2

A man is standing on the 8 m long shadow of a 6 m long pole. If the length of the shadow is 2.4 m, than the height of the man is

(A) 1.4 m

(B) 1.6 m

(C) 1.8 m

(D) 2.0 m

Ans: C

Let, h be the height of the man.

∴ $${1}/{2}$$ = $${h}/{2.4}$$ ⇒ h = $${3}/{4} (2.4)$$ = 1.8 m.

Question: 3

The angle of elevation of the top of a tower from a point 20 m away from its base is 45°. The height of the tower is

(A) 10 m

(B) 20 m

(C) 30 m

(D) 40 m

Ans: B

Question: 4

When the length of the shadow of a pole is equal to the height of the pole, then the elevation of source of light is

(A) 30°

(B) 40°

(C) 45°

(D) 60°

Ans: C

Question: 5

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

(A) 20°

(B) 30°

(C) 40°

(D) 50°

Ans: B

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