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Question

The base of a cliff is circular. From the extremities of a diameter of the base, angles of elevation of the top of the cliff are 30 and 60. If the height of the cliff be 500 m, then the diameter of the base of the cliff is

A
20003m
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B
10003m
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C
20002m
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D
10003m
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Solution

The correct option is B 20003m
In AEC,
tan60o=500d1
3=500d1
d1=5003m
and in BEC,
tan30o=500d2
d2=5003m
Required diameter =d1+d2
=5003+5003=20003m
685982_640027_ans_1aa72ad7eef541d89aebf5eca80d6caa.png

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