Question

The diagram shows 5 ft student standing near a tree. The shadow of the student and the shadow of the tree end at point A.

What is the height of the tree? Show all your work, and make sure to include units in your final answer.

Answer 1

Answer: 25 ft.

Explanation:

From the given picture, both man and tree are standing vertical to the ground.

Therefore, the angle that the sun hits the earth making shadows of both man and tree will be equal.

Thus, they will become similar triangles.

It gives that,

`\frac{\text{height of tree}}{\text{length of shadow of tree}}=\frac{\text{height of man}}{\text{length of shadow of man}}\\\\\Rightarrow\ (x)/(40)=(5)/(8)\\\Rightarrow\ x=(5*40)/(8)\\\Rightarrow x=25`

Hence, the height of tree is 25 ft.