Question

Use trig to find angles. Solve for x. Round to the nearest tenth of a degree, if necessary. the numbers are 36 and 24. The angle is x what is the x?

Answer 1

I’m missing which side each number labels (opposite, adjacent, or hypotenuse). Which one is 36 and which is 24 relative to angle x?

Common possibilities:
- If 36 and 24 are the two legs (adjacent and opposite), then tan x = 24/36 = 2/3 so
x = arctan(2/3) ≈ 33.7°.
- If 36 is the hypotenuse and 24 is the opposite side, then sin x = 24/36 = 2/3 so
x = arcsin(2/3) ≈ 41.8°.
- If 36 is the hypotenuse and 24 is the adjacent side, then cos x = 24/36 = 2/3 so
x = arccos(2/3) ≈ 48.2°.

Tell me which side is which and I’ll give the single correct angle.