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The angle of elevation of the sun is 45° then the length of the shadow of a 12 m high tree is ……

A) 12√3 

B) 16 

C) 12 

D) 16 √3

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2 Answers

+1 vote
by (34.0k points)

Correct option is: C) 12

0 votes
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Correct option is: C) 12

We have the height of the tree is BC = 12 m.

Angle of elevation of the sum is \(\angle\)A = \(45^\circ\)

In right \(\triangle\)ABC,

\(\frac {BC}{AB}\) = tan A = tan \(45^\circ\) = 1

= AB = BC = 12 m

Hence, the length of the shadow of the tree is 12 m.

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