The angle of elevation of the sun when the length of the shadow of a tree is equal to the height of ......

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:

Consider the diagram shown above where QR represents the tree and PQ represents its shadow
We have, QR = PQ
Let angleQPR = θ
tanθ=QR/PQ=1(since QR = PQ)
=> θ = 45°
i.e., required angle of elevation = 45°

By: MIRZA SADDAM HUSSAIN