9514 1404 393
Answer:
β ≈ 39.9°
θ ≈ 50.1°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationships between the sides of a right triangle and the trig functions of the acute angles.
For angle β, we know the opposite side and the hypotenuse, so the relevant relation is ...
Sin = Opposite/Hypotenuse
sin(β) = 61/95
The inverse function is used to find the angle when the sine is known.
β = arcsin(61/95) ≈ 39.9°
Of course, the angle θ is the complement of this:
θ = 90° -39.9° = 50.1°
