Asked by Ian
Solve for x. Round to the nearest tenth of a degree, if necessary. The numbers are 5.1 and 6.8. X is the angle what is the x?
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I need a bit more information — what do the numbers 5.1 and 6.8 represent (sides of a right triangle, two sides of a general triangle with a given included angle, etc.)? If you meant a right triangle, here are the three common interpretations and their answers:
- If 5.1 is the opposite side and 6.8 is the adjacent side: tan x = 5.1/6.8 = 0.75, so x = arctan(0.75) ≈ 36.9°.
- If 5.1 is the opposite side and 6.8 is the hypotenuse: sin x = 5.1/6.8 = 0.75, so x = arcsin(0.75) ≈ 48.6°.
- If 5.1 is the adjacent side and 6.8 is the hypotenuse: cos x = 5.1/6.8 = 0.75, so x = arccos(0.75) ≈ 41.4°.
(If 5.1 were the hypotenuse and 6.8 the opposite, that’s impossible since 6.8 > 5.1.)
Tell me which side is which or upload a diagram and I’ll give the single correct value.
- If 5.1 is the opposite side and 6.8 is the adjacent side: tan x = 5.1/6.8 = 0.75, so x = arctan(0.75) ≈ 36.9°.
- If 5.1 is the opposite side and 6.8 is the hypotenuse: sin x = 5.1/6.8 = 0.75, so x = arcsin(0.75) ≈ 48.6°.
- If 5.1 is the adjacent side and 6.8 is the hypotenuse: cos x = 5.1/6.8 = 0.75, so x = arccos(0.75) ≈ 41.4°.
(If 5.1 were the hypotenuse and 6.8 the opposite, that’s impossible since 6.8 > 5.1.)
Tell me which side is which or upload a diagram and I’ll give the single correct value.
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