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Find the missing angle A if side a=10 and side c=18Round your answer to the nearest hundredth if necessary.

Find the missing angle A if side a=10 and side c=18Round your answer to the nearest-example-1

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In order to find the missing angle A, we can use its sine relation.

The sine relation is the length of the opposite side to the angle over the length of the hypotenuse.

So we have:


\begin{gathered} \sin (A)=(a)/(c) \\ \sin (A)=(10)/(18)=(5)/(9) \\ A=\arcsin ((5)/(9)) \\ A=33.75\degree \end{gathered}

So the angle A is 33.75°.

User Olshevski
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