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Burka [1]
2 years ago
9

Find the measure of the angle x to the nearest tenth. Question 7 options: 33. 5° 56. 5° 28. 9° 44. 3°.

Mathematics
1 answer:
Nina [5.8K]2 years ago
4 0

The question is an illustration of right-angled triangles

The approximated value of x is 33.5 degrees

The given parameters are:

\theta = x

Hypotenuse = 58

Opposite = 32

To determine the measure of angle x, we simply make use of the following sine ratio.

\sin(\theta) = \frac{Opposite}{Hypotenuse}

So, we have:

\sin(x) = \frac{32}{58}

\sin(x) = 0.5517

Take arc sine of both sides

x = \sin^{-1}(0.5517)

This gives

x = 33.5

Hence, the approximated value of x is 33.5 degrees

Read more about right-angled triangles at:

brainly.com/question/16195823

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