Question

Find the value of x in the triangle. Round your answer to the nearest tenth of a degree. Show your work. I already know the hypotenuse is 17, but what is the value of X? I'm really confused, any help is appreciated!

Answer 1

61.9°

Explanation:

The mnemonic SOH CAH TOA reminds you that ...

Tan = Opposite/Adjacent

Then in your triangle, you have ..

tan(x°) = 15/8

x° = arctan(15/8) ≈ 61.9°

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"arctan(...)" can be read as "the angle whose tangent is ..." The calculator function that gives this value is often a "2nd" function, overlaid on the key that gives you the tangent. It may be labeled tan⁻¹.