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3 years ago

What is the measure of the missing angle?

Mathematics

2 answers:

Luda [366]3 years ago

8 0

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)

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

Pavlova-9 [17]3 years ago

8 0

Hope this helps! feel free to clarify

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