Question

A 10 foot pole casts a 15 ft shadow. At the same time, a tree casts a 24 foot shadow. How tall is the tree

Answer 1

1. Set up a ratio for the pole comparing height to shadow length:

10 feet tall / 15 feet shadow

2. Set this ratio equal to a similar ratio for the tree:

`\frac{10 \text{ feet tall}}{15 \text{ feet shadow}} =\frac{x \text{ feet tall}}{24 \text{ feet shadow}}`

3. Solve the equation by multiplying by 24 on both sides of the equation:

`24 \cdot (10)/(15) = x`

x = 16 feet

Answer 2

41

Explanation:

10=15

24=x

cross multiply

24×15=410

410÷10=41