# How long will be the shadow of a tree that is 9.642-meters tall when the angle of elevation of the sun is 40 °? Give answer to 3 decimals?

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- KrishnamurthyLv 75 months ago
How long will the shadow of a tree be that is 9.642-meters tall

when the angle of elevation of the sun is 40°

The height of the tree is h = 9.642 meters

The length of the shadow of the tree is s

and angle of elevation of the sun is θ = 40°.

Then, tan θ = 9.642/s

s = 9.642/tan 40° = 11.491 ( 3 d p ) meters.

The length of the shadow is 11.491 ( 2 d p )

meters [Ans]

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