Height and distance

poornima lagadapati

Active member
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

A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30° with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60°. What is the distance between the base of the tower and the point P?

A.43 units
B.8 units
C.12 units
D.Data inadequate
E.None of these

The angle of elevation of a ladder leaning against a wall is 60° 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

An observer 1.6 m tall is 203 away from a tower. The angle of elevation from his eye to the top of the tower is 30°. The height of the tower is:

A.21.6 m
B.23.2 m
C.24.72 m
D.None of these

From a point P on a level ground, the angle of elevation of the top tower is 30°. 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
 

poornima lagadapati

Active member
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

A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30° with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60°. What is the distance between the base of the tower and the point P?

A.43 units
B.8 units
C.12 units
D.Data inadequate
E.None of these

The angle of elevation of a ladder leaning against a wall is 60° 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

An observer 1.6 m tall is 203 away from a tower. The angle of elevation from his eye to the top of the tower is 30°. The height of the tower is:

A.21.6 m
B.23.2 m
C.24.72 m
D.None of these

From a point P on a level ground, the angle of elevation of the top tower is 30°. 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
1. C 2. D 3. D
 
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