Question

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

Answer 1

`\displaystyle 61,9° ≈ x`

Explanation:

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

`\displaystyle cot^(-1)\: (8)/(15) ≈ 61,92751306° ≈ 61,9° \\ \\ OR \\ \\ tan^(-1)\: 1(7)/(8) ≈ 61,92751306° ≈ 61,9°`

Extended Information on Trigonometric Ratios

`\displaystyle (OPPOSITE)/(HYPOTENUSE) = sin\:θ \\ (ADJACENT)/(HYPOTENUSE) = cos\:θ \\ (OPPOSITE)/(ADJACENT) = tan\:θ \\ (HYPOTENUSE)/(ADJACENT) = sec\:θ \\ (HYPOTENUSE)/(OPPOSITE) = csc\:θ \\ (ADJACENT)/(OPPOSITE) = cot\:θ`

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