Question

The triangle shown has a hypotenuse with a length of 13 feet. The measure of angle A is 20 degrees. and the measure of angle B is 70 degrees. Which of the following is closest to the length, in feet, of line segment AC? No need to use a calculator to find the trig numbers. Each function is listed below.

4.4
5
12.2
35.7

Answer 1

`AC=12.2\ units`

Explanation:

we know that

In the right triangle ABC

`sin(70\°)=(AC)/(AB)`

Solve for AC

`AC=ABsin(70\°)`

substitute the values

`AC=13(0.9397)=12.2\ units`