The angle of elevation of the top of a hill at the foot of a tower is 60 and the angle of elevation of top of the tower from the foot of the hill is 30. If the tower is 50 m high, then the height of the hill is :
A
148 m
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B
150 m
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C
152 m
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D
160 m
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Solution
The correct option is C150 m
Let AB be the hill and CD be the tower.
Since the angle of elevation of the top of the tower from the foot of the hill is 300.
∴∠CBD=300
Again, the angle of elevation of the top of the hill from the foot of the tower is 600.