Answer:
[tex]B=36.87[/tex]
Step-by-step explanation:
As we are given the adjacent (a) side and the hypotenuse (h), we can use the cosine function to find the measure of angle B.
Recall that [tex]cos(B)=\frac{a}{h}[/tex]
This means that in order to find B, we need to take the inverse of cosine
This gives us
[tex]B=cos^{-1} (\frac{4}{5} )[/tex]
From a calculator, we find that the answer of this is
[tex]B=36.869[/tex]
When this is rounded to the nearest hundredth, we get
[tex]B=36.87[/tex]
