The angle of elevation of the sun, when the length of the shadow of a tree is equal to the height of the tree is?
The angle of elevation of the sun, when the length of the shadow of a tree is equal to the height of the tree is?
Explanation
Let's denote the height of the tree as h and the length of the shadow as h (since they are equal).Step 1: Recall the tangent function
tan(θ) = opposite side (height of the tree) / adjacent side (length of the shadow)
tan(θ) = h / h
tan(θ) = 1
Step 2: Find the angle θ
θ = arctan(1)
θ = 45 degrees