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.

25 ft.

Step-by-step 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,

Hence, the height of tree is 25 ft.

2

step-by-step explanation:

vvvvv

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6