Question

Given right triangle ABC. To the nearest degree, find the measure of angle B.

Answer 1

Explanation:

We have the length of AC which is opposite angle B; we also have the length of the hypotenuse. We will use trig here to solve for angle B. The sin ratio is the one that fits.

sin(B) = side opposite / hypotenuse:

`sin(B)= ( 4.8)/( 5.1)` so

sin(B) = .9411764706

Now we will use the 2nd button on our calculators. This will give us the missing angle value. Press 2nd then sin and you will see on your screen:

`sin^{-1 (`

Enter that decimal after the open parenthesis and hit "enter" to get

B = 70.25 or 70°