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What is the measure of angle C?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth

What is the measure of angle C Enter your answer as a decimal in the box Round only your final answer to the nearest hundredth class=

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irspow
Use the law of sines....(sina/A=sinb/B=sinc/C  for any triangle)

What that means is the sine of an angle divided by the length of the side opposite the angle is a ratio that is true each angle/side pair...In this case:

sin90/122=sinc/22  rearrange to solve for sinc

sinc=(22sin90)/122  now take the arcsin to solve for c

c=arcsin[(22sin90)/122]

c≈10.388857815469611987441020361405

c≈10.39° (to nearest hundredth of a degree)
ashishdwivedilVT

The measure of angle ∠C in the right triangle ABC is 10.39°.

What is the cosine of an angle?

The cosine of an angle is the ratio of the adjacent side to the hypotenuse of that right triangle.

In the right-triangle ABC

Adjacent side to ∠C = 120

Hypotenuse = 122

So, [tex]Cos C =\frac{120}{122}[/tex]

[tex]C = Cos^{-1} \frac{120}{122}[/tex]

∠C = 10.39°

Therefore. the measure of angle ∠C in the right triangle ABC is 10.39°.

To get more about the right triangle visit:

https://brainly.com/question/22364396

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