Question

Use similar triangles to solve. a person who is 5 feet tall is standing 99 feet from the base of a​ tree, and the tree casts a 110 foot shadow. the​ person's shadow is 11 feet in length. what is the height of the​ tree?

Answer 1

This problem is about ratios.

$\frac{height}{shadow} = \frac{5ft \:}{11ft} = \frac{x}{110}$

Solve for X

$x = \frac{5 \times 110}{11} = 50ft$

The tree is 50ft tall.