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Need help with this answers

It says: Find the measure of each angle. Calculate the length of each side

Need help with this answers It says: Find the measure of each angle. Calculate the-example-1

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Answer:

m∠C = 90°

m∠A = 25°

BC = 3.803564355666

AC = 8.15677008333

Explanation:

ABC is a right triangle at C then

m∠C = 90°

m∠A = 90 - m∠B = 90 - 65 = 25°

……………………………


\cos \left( 65\right) =(BC)/(9)


\Longrightarrow BC=9* \cos \left( 65\right) =3.803564355666

……………………………


\sin \left( 65\right) =(AC)/(9)


\Longrightarrow AC=9* \sin \left( 65\right) =8.15677008333

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