Question

For the right triangle shown, use the trig functions to find the value of c. Round your answer to the nearest tenth.

1. 21
2. 14
3. 7
4. 28

Answer 1

14

Explanation:

This is a special right triangle with angle measures of 30° 60° 90° and in this special triangle the side lengths are labelled as x, x√3 and 2x

The side length that sees angle measure 30° is x

the side length that sees angle measure 60° is x√3

and the side length that sees angle measure 90° is 2x

The side length that sees angle measure 30° is given as 7 so x = 7 and since the side length that sees 90° (hypotenuse) is 2x we can say that c = 14