Question

The angle of elevation of the sun, when the length of the shadow of a tree $\sqrt{3}$times the height of the tree, is:

Answer 1

Hey there!
I am here to help!

Let the Sun ☀ be at B,
The tree at C,
The shadow at AC

Let the height of the tree =x
Then length of shadow =√3x

Tan=a /b = x/ √3x

TanA =1/ √3

TanA =Tan 30°

Angle of elevation A=30°

hope helped!

Answer 2

The answer is 30º.

The step-by-step solution is as follows:-

Let the tree be AB

and the shadow be AC

Let <ACB = θ

Now, AC/AB = √3        

=> cotϴ = √3

=> cotϴ  = cot 30

=> ϴ = 30