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Question

AB is a vertical pole with base at B. A man finds the angle of elevation of the point A from a certain point C on the ground is 600 . He move away from the pole along line BC to a point D such that CD=7m , from D the angle of elevation of point A is 450 , then height of the pole is

A
732(3+1)
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B
732(31)
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C
732(3+1)
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D
732(31)
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Solution

The correct option is A 732(3+1)
Let AB=x and BC=y
In ABCtan60=xy
y=x3 ..(1)
And in ABDtan45=xy+7
From (1)
x=y+7=x3+7
3xx=73
x=7331
x=732(3+1)

190402_161745_ans.PNG

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