Height And Distance(Quantitative Aptitude ) Questions and answers for exam Preparation

Quantitative Aptitude

HEIGHT AND DISTANCE MCQs

Total Questions : 206 | Page 9 of 21 pages

Question 81. When the sun's altitude changes from 30° to 60°, the length of the shadow of a tower decreases by 70m. What is the height of the tower?

35 m
140 m
60.6 m
20.2 m

Discuss Question

Answer: Option C. -> 60.6 m

Question 82. From a point P on a level ground, the angle of elevation of the top tower is 30º. If the tower is 200 m high, the distance of point P from the foot of the tower is:

346 m
400 m
312 m
298 m

Discuss Question

Answer: Option A. -> 346 m

Question 83. The angles of depression and elevation of the top of a wall 11 m high from top and bottom of a tree are 60° and 30° respectively. What is the height of the tree?

22 m
44 m
33 m
None of these

Discuss Question

Answer: Option B. -> 44 m

Question 84. A ladder 10 m long just reaches the top of a wall and makes an angle of 60° with the wall.Find the distance of the foot of the ladder from the wall $$\left( {\sqrt 3 = 1.73} \right)$$

4.32 m
17.3 m
5 m
8.65 m

Discuss Question

Answer: Option D. -> 8.65 m

Question 85. The angle of elevation of the top of the tower from a point on the ground is $${\sin ^{ - 1}}\left({\frac{3}{5}} \right).$$ If the point of observation is 20 meters away from the foot of the tower, what is the height of the tower?

9 m
18 m
15 m
12 m

Discuss Question

Answer: Option C. -> 15 m

Question 86. A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30º with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 45º. What is the distance between the base of the tower and the point P?

9 units
$$3\sqrt 3 $$ units
Data inadequate
12 units

Discuss Question

Answer: Option C. -> Data inadequate

Question 87. A vertical pole fixed to the ground is divided in the ratio 1 : 9 by a mark on it with lower part shorter than the upper part. If the two parts subtend equal angles at a place on the ground, 15 m away from the base of the pole, what is the height of the pole?

$$60\sqrt 5 \,{\text{m}}$$
$${\text{15}}\sqrt 5 \,{\text{m}}$$
$$15\sqrt 3 \,{\text{m}}$$
$${\text{60}}\sqrt 3 \,{\text{m}}$$

Discuss Question

Answer: Option A. -> $$60\sqrt 5 \,{\text{m}}$$

Question 88. A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45° with the man's eye when at a distance of 100 metres from the tower. After 10 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?

26.28 km/hr
32.42 km/hr
24.22 km/hr
31.25 km/hr

Discuss Question

Answer: Option A. -> 26.28 km/hr

Question 89. An aeroplane when 900 m high passes vertically above another aeroplane at an instant when their angles of elevation at same observing point are 60° and 45° respectively. Approximately, how many meters higher is the one than the other?