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Question

# The length of shadow of a tower on the plane ground is times the height of the tower. The angle of elevation of sun is :

A
450
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B

300

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C

600

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D

90­0

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Solution

## The correct option is B 300 Let AB be the tower and BC be the length of the shadow of the tower. Here, θ, is the angle of elevation of the sun. Given, length of shadow of tower =√3× Height of the tower. BC=√3AB....(1) In right ΔABC, tanθ=ABBC[tanθ=Opposite sideAdjacent side]tanθ=AB√3AB[Using(1)]⇒tanθ=1√3⇒tanθ=tan30∘[∴tan30∘=1√3]⇒θ=30∘ Thus, the angle of elevation of the sun is 30∘.

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