Class 10 Math All topics Some Applications of Trigonometry

The angle of elevation of the sun, when the length of the shadow of a tree is $3 $ times the height of the tree, is

(a)

$30_{∘}$

(b)

$45_{∘}$

(c)

$60_{∘}$

(d)

$90_{∘}$

Correct answer: (a)

Solution:

REF. Image

Let AB be the tree and AC be its

shadow

Let $∠ACB=θ$

$⇒ABAC =3 $

$⇒cotθ=3 $

$∴θ=30_{∘}$

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