Question

in sunlight, a vertical stick has a height of 4 ft and casts a shadow 2 ft long at the same time that a nearby tree casts a shadow 18 ft long. how tall is the tree

Answer 1

The ratio of the height of the stick to the length of its shadow is equal to the ratio of the height of the tree to the length of its shadow.

x - the height of the tree

$\frac{4}{2}=\frac{x}{18} \\ 2=\frac{x}{18} \\ 2 \times 18=x \\ x=36$

The tree is 36 ft tall.