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

Quantitative Aptitude

HEIGHT AND DISTANCE MCQs

Total Questions : 206 | Page 8 of 21 pages

Question 71. On the same side of a tower, two objects are located. Observed from the top of the tower, their angles of depression are 45° and 60°. If the height of the tower is 600 m, the distance between the objects is approximately equal to :

272 m
284 m
288 m
254 m

Discuss Question

Answer: Option D. -> 254 m

Question 72. 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 30º and 45º respectively. If the lighthouse is 200 m high, the distance between the two ships is:

600 m
273 m
546 m
446 m

Discuss Question

Answer: Option C. -> 546 m

Question 73. The angle of elevation of the top of a tower from a certain point is 30°. If the observer moves 40 m towards the tower, the angle of elevation of the top of the tower increases by 15°. The height of the tower is:

64.2 m
62.2 m
52.2 m
54.6 m

Discuss Question

Answer: Option D. -> 54.6 m

Question 74. Find the angle of elevation of the sun when the shadow of a pole of 18 m height is $$6\sqrt 3 $$ m long?

30°
60°
45°
None of these

Discuss Question

Answer: Option B. -> 60°

Question 75. A balloon leaves the earth at a point A and rises vertically at uniform speed. At the end of 2 minutes, John finds the angular elevation of the balloon as 60°. If the point at which John is standing is 150 m away from point A, what is the speed of the balloon?

0.63 meter/sec
2.16 meter/sec
3.87 meter/sec
0.72 meter/sec

Discuss Question

Answer: Option B. -> 2.16 meter/sec

Question 76. The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 12.4 m away from the wall. The length of the ladder is:

14.8 m
6.2 m
12.4 m
24.8 m

Discuss Question

Answer: Option D. -> 24.8 m

Question 77. An observer 2 m tall is $$10\sqrt 3 $$ m away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The height of the tower is:

14 m
12 m
10 m
None of these

Discuss Question

Answer: Option B. -> 12 m

Question 78. A person, standing exactly midway between two towers, observes the top of the two towers at angle of elevation of 22.5° and 67.5°. What is the ratio of the height of the taller tower to the height of the shorter tower? (Given that tan 22.5° = $$\sqrt 2 - 1$$ )

$$1 - 2\sqrt 2 :1$$
$$1 + 2\sqrt 2 :1$$
$$3 + 2\sqrt 2 :1$$
$$3 - 2\sqrt 2 :1$$

Discuss Question

Answer: Option C. -> $$3 + 2\sqrt 2 :1$$

Question 79. To a man standing outside his house, the angles of elevation of the top and bottom of a window are 60° and 45° respectively. If the height of the man is 180 cm and he is 5 m away from the wall, what is the length of the window?

8.65 m
2 m
2.5 m
3.65 m

Discuss Question

Answer: Option D. -> 3.65 m

Question 80. A vertical tower stands on ground and is surmounted by a vertical flagpole of height 18 m. At a point on the ground, the angle of elevation of the bottom and the top of the flagpole are 30° and 60° respectively. What is the height of the tower?