Question

A building that is 100 ft tall casts a shadow that makes a 30 degree angle with the ground. Approximately how long, in feet, is the shadow across the ground?

Answer 1

The awnser is 130 ft.

Answer 2

100$\sqrt{3}$ is how long the shadow would be.

To solve, remember the ratio for a 30/60/90 triangle:
short side = x
long side = x$\sqrt{3}$
hypotenuse = 2x

the short side is the building, which is 100, so the long side is 100$\sqrt{3}$