Question

A tree casts a shadow 30 ft long. At the same​ time, the shadow cast by a vertical 8ft pole is 5 ft long. Find the height of the tree.

Answer 1

Since this is a similar triangle problem, we will put the corresponding measurements with the other triangle. Then cross multiply.

$\frac{x}{8}=\frac{30}{5}$

Solve.

$5x=240$

$x=48$

The height of the tree is 48 feet.