A person standing at the end of the shadow of a tree measures the that the length of the shadow is 1 /\sqrt3 times the length of the tree. At what angle of elevation will the man see the Sun?

Heights and Distances Practice Test 1

Question : 8 of 40

Marks: +1, -0

A person standing at the end of the shadow of a tree measures the that the length of the shadow is

1 /√3

times the length of the tree. At what angle of elevation will the man see the Sun?

Solution:

Let h be the height of the tree. Then its shadow

= h/ √3

(given) θ be the angle of elevation
Then

\tan θ=h/{h√3}=√3=\tan 60°

Hence, the angles of elevation at which the man sees the sun is 60°.

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