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Solve for a. Round your answer to the nearest tenth.

Solve for a. Round your answer to the nearest tenth.-example-1

1 Answer

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Answer:

Explanation:

Remark

a is one part of the cosine function. It is termed the adjacent side. The given number (12) is the hypotenuse of a right triangle. The reference angle is given as 25. You have all you need to solve for a

Givens

<B = 25o

AB = 12

a = a

Equation

Cos(B) = adjacent side / hypotenuse

Solution

Cos(25) = adjacent side / 12 Multiply both sides by 12

12*cos(25) = adjacent side

cos(25) = 0.90631

12*0.906331 = adjacent side

10.87 = adjacent side

Answer

a = 10.9

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