Question

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

Answer 1

Answer:

Step-by-step 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:

$sin(B)= \frac{ 4.8}{ 5.1}$ 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°