Question

1. 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

25 ft.

Explanation:

the idea is ratio and proportion:

5 ft. = x ft.

8 ft. 40 ft.

cross multiply: 8 (x) = 40 (5)

simplify: x = 200 / 8

answer : x = 25 ft.

therefore, the height of the tree is 25 ft.

Answer 2

Using similiar triangles set up the ratio of proportion:

E,F / A,F = B,C/A,C

5 / 8 = BC / 40

Cross multiply:

(5 *40) = (8* BC)

200 = 8BC

Divide both sides by 8

BC = 200/8

BC = 25 feet