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3 years ago

13

What is the measure of angle C?

1 answer:

Serggg [28]3 years ago

3 0

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)

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