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2 years ago

Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only)

Mathematics

1 answer:

Alex2 years ago

5 0

The value of x in the triangle is 28.1 degrees

<h3>How to solve for x?</h3>

The given triangle is a right triangle.

So, the relationship between the sides and angle x is:

sin(x) = opposite/hypotenuse

This gives

sin(x) = 8/17

Evaluate the quotient

sin(x) = 0.4706

Take the arc sin of both sides

$x = \sin^{-1}(0.4706)$

Evaluate

x = 28.1

Hence, the value of x in the triangle is 28.1 degrees

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