If the length of the shadow of a vertical pole is √3 times the height of the pole, find the angle of elevation of the sun.
Share
If the length of the shadow of a vertical pole is √3 times the height of the pole, find the angle of elevation of the sun.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer :-
Step-by-step explanation:
To Find :-
Solution:
Given that,
Assumption:
Let us assume the height of the tower as ( x ) units,
∴ The length of it's shadow = ( √3 x ) units,
Now, if θ is the angle of elevation of the sun, then,
⇒ tan θ = x ÷ √3 x
⇒ tan θ = 1 ÷ √3
⇒ tan θ = tan 30°
⇒ θ = 30°
Hence,