Question

If the ratio of the height of a pole and the length of its shadow is root3:1, then what is the angle of elevation of sun ?

Answer 1

tan x=root3/1
then x=60degree
then elevation of sun=60degree

Answer 2

Given, ratio of the height of a pole and the length of its shadow = √3 : 1

let the constant ratio = x

height = 3x ,

length of its shadow (base ) = x

since , we know when we have given height and base ,then either we solve it for tanA or cotA.both tanA and cotA provide us the same angle of elevation

let we solve it for tanA

tanA = height / base

tanA = √3 x / x

tanA = √3

tanA = tan60°

A = 60°

therefore ,

angle of elevation of sun = 60°

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Your Answer: A = 60°
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