iyge8fgw7iyhe7ihqwie iyge8fgw7iyhe7ihqwie
  • 02-06-2021
  • Mathematics
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What is the measure of the missing angle?

What is the measure of the missing angle class=

Respuesta :

heikepowe1976 heikepowe1976
  • 02-06-2021

Answer:

B=23.19

Step-by-step explanation:

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

[tex]a^{2} +b^{2} =c^{2} \\21^{2} +9^{2} =c^{2} \\441+81=c^{2} \\\sqrt[3]{58}=c[/tex]

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

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

B=arcsin(opp/hyp)

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

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niclahhh
niclahhh niclahhh
  • 02-06-2021
hope this helps! feel free to clarify
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