Question

Use trig to find angles. Solve for x. Round to the nearest tenth of a degree, if necessary. the numbers are 71 and 38. The angle is x what is the x?

Answer 1

I need to know which sides the numbers 71 and 38 represent (opposite, adjacent, or hypotenuse). Common cases and the resulting angles x:

- If 38 = opposite and 71 = hypotenuse: sin x = 38/71 → x = arcsin(38/71) ≈ 32.4°
- If 38 = adjacent and 71 = hypotenuse: cos x = 38/71 → x = arccos(38/71) ≈ 57.6°
- If 38 = opposite and 71 = adjacent (both legs): tan x = 38/71 → x = arctan(38/71) ≈ 28.3°
- If 71 = opposite and 38 = adjacent: tan x = 71/38 → x = arctan(71/38) ≈ 61.7°

Tell me which side corresponds to which, and I’ll confirm the correct x.