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

Quantitative Aptitude

HEIGHT AND DISTANCE MCQs

Total Questions : 206 | Page 3 of 21 pages

Question 21. There is a tree between houses of A and B. If the tree leans on A’s House, the tree top rests on his window which is 12 m from ground. If the tree leans on B’s House, the tree top rests on his window which is 9 m from ground. If the height of the tree is 15 m, what is distance between A’s and B’s house?

21 m
25 m
16 m
12 m

Discuss Question

Answer: Option A. -> 21 m

Question 22. Ramesh and Suresh’s mud forts have heights 8 cm and 15 cm. They are 24 cm apart. How far are the fort tops from each other?

31 cm
24 cm
25 cm
24.5 cm

Discuss Question

Answer: Option C. -> 25 cm

Question 23. A and B are standing on ground 50 meters apart. The angles of elevation for these two to the top of a tree are 60° and 30°. What is height of the tree?

$$50\sqrt 3 \,{\text{m}}$$
$$\frac{{25}}{{\sqrt 3 }}\,{\text{m}}$$
$$25\sqrt 3 \,{\text{m}}$$
$$\frac{{25}}{{\sqrt 3 - 1}}\,{\text{m}}$$

Discuss Question

Answer: Option C. -> $$25\sqrt 3 \,{\text{m}}$$

Question 24. There is a tower of 10m between two parallel roads. The angles of depression of the roads from the top of the tower are 30° and 45°. How far are the roads from each other?

27.32 m
29.56 m
$$20\sqrt 3 \,{\text{m}}$$
$$\frac{{10}}{{\sqrt 3 }}\,{\text{m}}$$

Discuss Question

Answer: Option A. -> 27.32 m

Question 25. Raj stands in a corner of his square farm. Angle of elevation of a scarecrow placed in diagonally opposite corner is 60°. He starts walking backwards in a straight line and after 80ft he realizes that angle of elevation of the scarecrow now is 30°. What is area of the field?

1600 sq.ft.
40 sq.ft.
$$\frac{{40}}{{\sqrt 2 }}$$ sq.ft.
800 sq.ft.

Discuss Question

Answer: Option D. -> 800 sq.ft.

Question 26. Due to sun, a 6ft man casts a shadow of 4ft, whereas a pole next to the man casts a shadow of 36ft. What is the height of the pole?

63 ft
72 ft
54 ft
48 ft

Discuss Question

Answer: Option C. -> 54 ft

Question 27. 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 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is:

173 m
200 m
273 m
300 m
None of these

Discuss Question

Answer: Option C. -> 273 m

Question 28. The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:

2.3 m
4.6 m
7.8 m
9.2 m

Discuss Question

Answer: Option D. -> 9.2 m

Question 29. 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 60º. What is the distance between the base of the tower and the point P?

4 √3 units
8 units
12 units
Data inadequate
None of these

Discuss Question

Answer: Option D. -> Data inadequate

Question 30. An observer 1.6 m tall is 20√3 away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The heights of the tower is: