Question

What is the measure of the missing angle?

Answer 1

B=23.19

Explanation:

First, find the last side of the triangle using the Pythagorean theorem.

`a^(2) +b^(2) =c^(2) \\21^(2) +9^(2) =c^(2) \\441+81=c^(2) \\\sqrt[3]{58}=c`

Then, find the missing angle, lets name it B.

The angle B can be found using the inverse sine function.

B=arcsin(opp/hyp)

`B=arcsin(\frac{9}{\sqrt[3]{58} } )\\B=23.19`

Answer 2

hope this helps! feel free to clarify