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hodyreva [135]
3 years ago
8

2. Find the value of x in the triangle. Round your answer to the nearest tenth of a degree. Show your work.

Mathematics
1 answer:
yarga [219]3 years ago
3 0

Answer:

\displaystyle 61,9° ≈ x

Step-by-step explanation:

We have to determine which trigonometric ratio to use, depending on what is displayed for us, and we will be using the <em>cotangent</em><em> </em>[or <em>tangent</em>] ratio, however, aside we are solving for an <em>angle</em><em> </em><em>measure</em>, we must use the inverse:

\displaystyle cot^{-1}\: \frac{8}{15} ≈ 61,92751306° ≈ 61,9° \\ \\ OR \\ \\ tan{-1}\: 1\frac{7}{8} ≈ 61,92751306° ≈ 61,9°

Extended Information on Trigonometric Ratios

\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ

I am joyous to assist you anytime.

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