1000+ Heights and Distance Questions for SSC and Bank Exams - 1

Question: 1

A 20 m high electric pole stands upright on the ground with the help of steel wire to its top and affixed on the ground. If the steel wire makes 60° with the horizontal ground, then find out the length of the steel wire.

(A) $$20√3$$ m

(B) $${20}/{√3}$$ m

(C) $$40√3$$ m

(D) $${40}/{√3}$$ m

Ans: D

Question: 2

Angle of depression from the top of a lighthouse of two boats are 45° and 307deg; due east which are 60 m apart. The height of the light house is

(A) 30(√3 + 1)

(B) 30(√3 - 1)

(C) 60$$√3$$

(D) None of these

Ans: A

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 30° with the horizontal, then the length of the wire is

(A) 10 m

(B) 12 m

(C) 14 m

(D) 16 m

Ans: B

Question: 4

The angle of elevation of the top of a tower from a certain point is 30°. If the observer moves 20 m towards the tower, the angle of elevation of the top of the tower increases by 15°. The height of the tower is

(A) 17.3 m

(B) 21.9 m

(C) 27.3 m

(D) 30 m

Ans: C

Question: 5

A tower stands at the end of a straight road. The angles of elevation of the top of the tower from two points on the road 500 m apart are 45° and 60° respectively. Find out the height of the tower.

(A) 5000$$√3$$

(B) $${500√3}/{√3 - 1}$$

(C) $${500√3}/{√3 + 1}$$

(D) None of these

Ans: B