Question

You similar triangles to solve a person is 6 feet tall is standing 154 feet from the base of a tree and the tree cast 165 foot shadow the person shadow is 11 feet in length what is the height of the tree

Answer 1

The height of the tree is 90 feet.

Explanation:

Assign variables:

P = 6 (height of the person)

PS = 11 (length of the person's shadow)

TS = 165 (length of the tree's shadow)

T = unknown (height of the tree)

Set up the proportion:

P / PS = T / TS

Substitute values:

6 / 11 = T / 165

Cross-multiply:

6 * 165 = 11 * T

Simplify:

990 = 11T

Solve for T:

T = 990 / 11

Calculate:

T ≈ 90