# Height And Distance – Aptitude MCQ Questions – 01

Question 1
An observer 1.6 m tall is 20âˆš3 away from a tower. The angle of elevation from his eye to the top of the tower is 30Âº. The heights of the tower is:

 Â Â Â A. 21.6 m Â Â Â B. 23.2 m Â Â Â C. 24.72 m Â Â Â D. None of these

Question 2
From a point P on a level ground, the angle of elevation of the top tower is 30Âº. If the tower is 100 m high, the distance of point P from the foot of the tower is:

 Â Â Â A. 149 m Â Â Â B. 156 m Â Â Â C. 173 m Â Â Â D. 200 m

Question 3
A man on the top of a vertical observation tower observes a car moving at a uniform speed coming directly towards it. If it takes 12 minutes for the angle of depression to change from 30Â° to 45Â°, how soon after this will the car reach the observation tower ?

 Â Â Â A. 14 min. 35 sec. Â Â Â B. 15 min. 49 sec. Â Â Â C. 16 min. 23 sec. Â Â Â D. 18 min. 5 sec.

Question 4
On the same side of tower, two objects are located. Observed from the top of the tower, their angles of depression are 45Â° and 60Â°. If the height of the tower is 150 m, the distance between the objects is-

 Â Â Â A. 63.5 m Â Â Â B. 76.9 m Â Â Â C. 86.7 m Â Â Â D. 90 m

Question 5
The angle of depression of a point situated at a distance of 70m from the base of a tower is 60Â°. The height of the tower is-

 Â Â Â A. 35âˆš3 m Â Â Â B. 70âˆš3 m Â Â Â C. 70âˆš3/3 m Â Â Â D. 70 m

Question 6
A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30Âº with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60Âº. What is the distance between the base of the tower and the point P?

 Â Â Â A. 4 âˆš3 units Â Â Â B. 8 units Â Â Â C. 12 units Â Â Â D. Data inadequate

Question 7
The angle of elevation of the sun, when the length of the shadow of a tree âˆš3 times the height of the tree, is:

 Â Â Â A. 30Âº Â Â Â B. 45Âº Â Â Â C. 60Âº Â Â Â D. 90Âº

Question 8
The angle of elevation of the top of a tower from a certain point is 30Â°. If the observed moves 20 m towards the tower, the angle of elevation the angle of elevation of top of the tower increases by 15Â°. The height of the tower is

 Â Â Â A. 17.3 m Â Â Â B. 21.9 m Â Â Â C. 27.3 m Â Â Â D. 30 m

Question 9
Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30Â° and 45Â° respectively. If the lighthouse is 100 m high, the distance between the two ships is:

 Â Â Â A. 173 m Â Â Â B. 200 m Â Â Â C. 273 m Â Â Â D. 300 m

Question 10
The angle of elevation of a ladder leaning against a wall is 60Âº and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:

 Â Â Â A. 2.3 m Â Â Â B. 4.6 m Â Â Â C. 7.8 m Â Â Â D. 9.2 m