There are two poles of equal height on either side of a road 100m wide. A man standing in between the poles obserces the top of one of elevation of 30°and the other at an elevation if 60°. Calculate the height of the pole.
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There are two poles of equal height on either side of a road 100m wide. A man standing in between the poles obserces the top of one of elevation of 30°and the other at an elevation if 60°. Calculate the height of the pole.
25–√3m
Step-by-step explanation:
Let the height of pole AD = BC = h
In △OBCtan60∘=hx
=> x=h3–√
In △AODtan30∘=h100−x
=> h=(100−x)13–√=(100−h3–√)13–√ [from (i)]
=> 3h=1003–√−h
=> h=1003–√4
=> h=253–√m
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