Question

A flag in the shape of a 30 060 090 triangle. the shorter leg has a length of 10 inches. What is the length of the hypotenuse?

A. 17.3 inches
B. 20 inches
C. 10 inches
D. 36.6 inches

Answer 1

`(shorter leg)/(hypotenuse)` = sin(30) = cos(60)

Luckily 30° and 60° are nice angles and
`sin(30) = cos(60) = (1)/(2)`


`(shorter leg)/(hypotenuse) = (1)/(2)`

We can rearrange the equation to give


`hypotenuse = 2(shorter leg)`

`hypotenuse = 2(10)`

Hypotenuse = B, 20 inches