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Solve the right triangle. Round your answers to the nearest tenth.

Solve the right triangle. Round your answers to the nearest tenth.-example-1

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Answer:

A=42 degrees a=13.5 c=20.2

Explanation:

Knowing that all the angles in a triangle add up to 180, we simply subtract 90 and 48 from 180 to figure out angle A.

For side a and c we can us trig to figure them out. Sin is equal to opposite over hypotenuse so the sin(48)=15/c, rearranging this equation we can do 15/sin(48)=c to figure out the length of side c

For a we use tan, which is opposite over adjacent. So we can make the formula tan(48)=15/a then rearrange this to 15/tan(48)=a to figure out the length of a

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