Question

What is the measure of the missing angle?

Answer 1

Answer:

B=23.19

Step-by-step 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