Question

3. A 30°-60°-90° triangle's hypotenuse is 2

2 miles long. How long is the shorter leg?
Write your answer in simplest radical form.

Answer 1

Explanation:

The shorter leg will be opposite the 30 degree angle

sin30 = opposite leg / hypotenuse

sin30 = opposite leg / 2 mi ( I THINK the hypotenuse is 2 miles ?)

2 mi * sin 30 = opposite leg

2 * 1/2 = opposite leg = 1 mile long

Answer 2

In a 30°-60°-90° triangle, the hypotenuse is twice the length of the shorter leg. Therefore, the shorter leg is (1/2) * 2.2 miles = 1.1 miles.