Height and Distance Aptitude MCQ Questions with Answers

Question. Two poles of the height 15 m and 20 m stand vertically upright on a plane ground. If the distance between their feet is 12 m, find the distance between their tops ?
a) 11 m
b) 12 m
c) 13 m
d) 14 m

Answer : C

Question. The angle of elevation of a ladder leaning against a wall is 60 deg and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is ?
a) 2.3 m
b) 4.6 m
c) 9.2 m
d) 7.8 m

Answer : C

Question. The length of shadow of a tower is ?3 times that of its length. The angle of elevation of the sun is ?
a) 45°
b) 30°
c) 60°
d) none

Answer : B

Question. If the elevation of the Sun changes from 30° to 60° , then the difference between the lengths of shadows of a pole 15 m high, is ?
a) 7.5 m
b) 15 m
c) 10?3 m
d) 5?3 m

Answer : C

Question. From a point P on a level ground, the angle of elevation of the top tower is 30º. If the tower is 100 m high, the distance of point P from the foot of the tower is ?
a) 148 m
b) 154 m
c) 162 m
d) 173 m

Answer : D

Question. The angle of elevation of the sun, when the length of the shadow of a tree ?3 times the height of the tree, is ?
a) 30º
b) 45º
c) 60º
d) 75º

Answer : A

Question. The upper part of a tree broken over by the wind make an angle of 60 deg with the ground. The distance between the root and the point where top of the tree touches the ground is 25 metres. What was the height (in metres) of the tree ?
a) 84.14
b) 93.3
c) 98.25
d)120.24

Answer : B

Question. On a ground , there is a vertical tower with a flagpole on its top . At a point 9 m away from the foot of the tower , the angles of elevation of the top and bottom of the flagpole are 60° and 30° respectively . The height of the flagpole is ?
a) 5?3 m
b) 6?3 m
c) 6?2m
d) 6?5 m

Answer : B

Question. The angle of elevation of the top of a tower from a point on the ground is 30° . On walking 100m towards the tower the angle of elevation changes to 60° . Find the height of the tower ?
a) 80?3
b) 70?3
c) 60?3
d) 50?3

Answer : D

Question. A kite is flying in the sky. The length of string between a point on the ground and kite is 420 m. The angle of elevation of string with the ground is 30 deg. Assuming that there is no slack in the string, then what is the height (in metres) of the kite ?
a) 210
b) 140?3
c) 210?3
d) 150

Answer : A