# Height And Distance – Aptitude MCQ Questions – 03

Question 1
A ladder 15 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, then the height of the wall is

 A. 15√3 m B. 15√3/2m C. 15/2m D. 15m

Question 2

If the height of a vertical pole is  3 ">3–√3  times the length of its shadow on the ground, then the angle of elevation of the sun at that time is

 A. 30° B. 60° C. 45° D. 75°

Question 3
If the angle of elevation of a tower from a distance of 100 metres from its foot is 60?, the height of the tower is

 A. 100√3 m B. 100/√3 m C. 50√3 m D. 200/√3 m

Question 4
The angle of depression of a car, standing on the ground, from the top of a 75 m tower, is 30°. The distance of the car from the base of the tower (in metres) is

 A. 25 √3 B. 50 √3 C. 75 √3 D. 150

Question 5
The angles of depression of two ships from the top of a light house are 45° and 30° towards east. If the ships are 100 m apart, the height of the light house is

 A. 50/√3+1m B. 50/√3−1m C. 50(√3−1)m D. 50(√3+1)m

Question 6
The angle of elevation of the top of a tower at a point on the ground 50 m away from the foot of the tower is 45°. Then the height of the tower (in metres) is

 A. 50√3 B. 50 C. 50/√2 D. 50/√3

Question 7
Two poles are ‘a’ metres apart and the height of one is double of the other. If from the middle point of the line joining their feet an observer finds the angular elevations of their tops to be complementary, then the height of the smaller is

 A. √2a metres B. a/2√2 metres C. a/√2 metres D. 2ametres

Question 8
Two persons are 'a' meters apart and the height of one is double that of the other. If from the middle point of the line joining their feet, an observer finds the angular elevation of their tops to be complementary, then the height of the shorter post is

 A. a/4 B. a/√2 C. a√2 D. a/2√2

Question 9
From the top of a cliff 25 m high the angle of elevation of a tower is found to be equal to the angle of depression of the foot of the tower. The height of the tower is

 A. 25 m B. 50 m C. 75 m D. 100 m

Question 10
If the angles of elevation of a tower from two points distance a and b (a > b) from its foot and in the same straight line from it are 30? and 60?, then the height of the tower is

 A. √a+b B. √ab C. √a−b D. √a/b