Hi there!
We can find the values of x using right triangle trig.
Recall: SOHCAHTOA
sin = O/H (Opposite / Hypotenuse)
cos = A/H (Adjacent / Hypotenuse)
tan = O/A (Opposite / Adjacent)
Thus:
6. A = 14, H = 15
cos x = 14/15
cos⁻¹ (14/15) = x
x = 21.04° ≈ 21°
7. O = 19, A = 23
tan x = 19/23
tan⁻¹(19/23) = x
x = 39.56° ≈ 40°
8. A = 9, H = 17
cos x = 9/17
cos⁻¹(9/17) = x
x = 58.03 ≈ 58°
9. O = 43, H = 45
sin x = 43/45
sin⁻¹(43/45) = x
x = 72.85° ≈ 73°
