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For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth

For the right triangle shown, use the trig functions to find the value of x. Round-example-1

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Answer:

28.3

Explanation:

Use the Tangent

Tan(theta) = opposite over adjacent.

opposite (defined as the line that does not make up the angle) = 17

Theta = 31

adjacent (one of the lines making up the angle) = x

Tan(31) = 0.6009

Tan(31) = 17/x Multiply both sides by x

x*tan(31) = 17 Divide by tan 31

x = 17/tan31

x = 17 / 0.6009

x = 28.29

Rounded to the nearest 1/10 is 28.3

User Rex Butler
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