Question

If the ratio of the height of the tower and length of its shadow is /3 :1 , what is the angle of elevation of the sun

Answer 1

answer is cot inverse 1/3

Answer 2

$\huge\mathfrak{Answer:θ= 60°}$

Given that :-

• the ratio of the height of the tower and length of its shadow is 3:1.

To find :-

• the angle of elevation of the sun

Solution :-

Let height of a tower, AB = θ3 and length of its shadow , BC = 1 .

Let angle of elevation of the Sun is θ .

tan θ = Height of tower/Length of shadow.

In right angle ∆ ABC , 

tan θ = P/B 

tan θ  = AB/BC

tan θ  = √3/1

tan θ  = √3 

tan θ  = tan 60° 

(tan 60° = √3)

$\huge\boxed{θ = 60°}$

Hence, the angle of elevation of the Sun is 60°.