Question

Use trig to find angles. Solve for x. Round to the nearest tenth of a degree, if necessary. the numbers are 7.4 and 13. The angle is x what is the x?

Answer 1

I need to know which side is which relative to angle x (opposite, adjacent, or hypotenuse). The usual case is that 13 is the hypotenuse and 7.4 is the side opposite x, so:

- sin x = 7.4/13
- x = arcsin(7.4/13) ≈ 34.7°

If the labeling is different, here are the other possibilities (rounded to the nearest tenth):

- If 7.4 = adjacent and 13 = hypotenuse: x = arccos(7.4/13) ≈ 55.3°
- If 7.4 = opposite and 13 = adjacent: x = arctan(7.4/13) ≈ 29.6°
- If 7.4 = adjacent and 13 = opposite: x = arctan(13/7.4) ≈ 60.4°

Tell me which side is which if you want the one that matches your diagram.