Heights & Distances

1. The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 5m away from the wall. What is the length of the Ladder?

A. 10
B. 11
C. 10.2
D. 10.5

Ans. A

2. Two boats are sailing in the sea on the two sides of a pillar in between the sea. The angle of elevation of the top of the pillar is observed from the boats are 30º and 45º respectively. If the pillar is 100 m high, the distance between the two boats is:

A. 273
B. 173
C. 174
D. 373

Ans. A

3. An observer 1.6 m tall is 20m away from a tower. The angle of elevation from his eye to the top of the tower is 60º. The heights of the tower is:

A. 36.25
B. 36.24
C. 36.34
D. 26.34

Ans. B

4. There are two points X and Y , the angle of elevation from the top of a tower to the two points are 30º and 60º respectively. Find the distance between point X and the tower?

A. 17.1
B. 18.1
C. Incomplete data.
D. None of the above.

Ans. C

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

A. 173
B. 183
C. Incomplete data.
D. None of the above.

Ans. A

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