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3 years ago

It’s worth 10 points if you answer!

Mathematics

1 answer:

Maksim231197 [3]3 years ago

8 0

Answer:

m∠x = 10°

Step-by-step explanation:

Since we are dealing with a right triangle and its two sides and one angle, we can use trigonometry ratios. Remember them all with the acronym SohCahToa.

"o" is for opposite side, "a" is for adjacent side, "h" is for hypotenuse side.

The ratios are:

sinθ = opposite/hypotenuse

cosθ = adjacent/hypotenuse

tanθ = opposite/adjacent

θ means the "angle of reference", or the angle you know or want to find. This determines which side is adjacent (touching) or opposite (not touching). The hypotenuse (longest side) does not change.

In this triangle, θ = x. The sides we know are hypotenuse and opposite. Therefore, we will use the sinθ ratio.

sinθ = opposite/hypotenuse

sinx = CB/AB Substitute the labels in the diagram

sinx = 4/23 Substitute known values (side lengths)

x = sin⁻¹(4/23) Isolate 'x'. Use calculator to solve.

x = 10.015....° Exact answer

x ≈ 10° Round to the nearest degree

Therefore the measure of angle x (m∠x) is 10°.

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