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Karo-lina-s [1.5K]
4 years ago
11

$#6 find the value if x. round answer to nearest tenth.

Mathematics
1 answer:
marysya [2.9K]4 years ago
4 0

Answer:

Step-by-step explanation:

The hypotenuse of the right angle triangle is 24

With m∠x as the reference angle,

The adjacent side of the right angle triangle is 17

The unknown side represents the opposite side of the right angle triangle.

To determine m∠x, we would apply

the cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse. Therefore,

Cos x = 17/24= 0.708

x = Cos^-1(0.708)

x = 55.0° to the nearest tenth.

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Answer:  Approximately 30.4 degrees

=========================================================

Work Shown:

324 - 1.6 = 322.4 is the height of the right triangle. This is the opposite side compared to the angle theta.

The adjacent side is 550 since it is the leg closest to the angle theta.

We'll use the tangent rule to connect the two sides

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