Height and Distance MCQs

Q. 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:
A.173 m
B.200 m
C.273 m
D.300 m
Answer: Option C

Q.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:
A.2.3 m
B.4.6 m
C.7.8 m
D.9.2 m
Answer: Option D

Q. 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.149 m
B.156 m
C.173 m
D.200 m
Answer: Option C

Q. 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 degree and 45 degree respectively. If the lighthouse is 100 m high, the distance between the two ships is
A.273 m
B.156 m
C.263 m
D.200 m
Answer: Option A

Q. From a point C on a level ground, the angle of elevation of the top of a tower is 30 degree. If the tower is 100 meter high, find the distance from point C to the foot of the tower.
A.273 m
B.156 m
C.173 m
D.200 m
Answer: Option C

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