100+ Heights and Distance Aptitude Questions and Answers - 2

Question: 6

A tower stands on a horizontal plane. A man on the ground 100 m from the base of the tower finds the angle of elevation of the top of the tower to be 30°. What is the height of the tower?

(A) 100 m

(B) 100 $$√3$$

(C) 100/ $$√3$$

(D) None of these

Ans: C

Question: 7

The shadow of a tower standing on a level plane is found to be 50 m longer when the sun’s altitude is 30° than when it is 60°. Find the height of the tower.

(A) 20$$√3$$ m

(B) 25$$√3$$ m

(C) 30$$√3$$ m

(D) 420$$√3$$ m

Ans: B

Question: 8

From the top of a lighthouse, 50 m above the sea, the angle of depression of an incoming boat is 30°. How far is the boat from the lighthouse?

(A) 25 $$√3$$ m

(B) 30 $$√3$$ m

(C) 35 $$√3$$ m

(D) 50 $$√3$$ m

Ans: D

Question: 9

The upper part of a tree broken by the wind makes an angle of 30° with the ground and the distance from the root to the point where the top of the tree touches the ground is 10 m. What was the height of the tree?

(A) 10 $$√3$$

(B) 20 $$√3$$

(C) 30 $$√3$$

(D) 40 $$√3$$

Ans: A