Step-by-step explanation:
We would apply SOHCAHTOA to find the missing angle
opposite = side opposite the angle
The angle we are looking for is ∠B
opposite = side opposite the angle B = AC
hypotenuse = 5 yd
adjacent = base = 4 yd
We would apply cos ratio (CAH) since we were given the values of the adjacent and hypotenuse
cos B = adjacent/hypotenuse
cos B = 4/5
cos B = 0.8
B = arc cos (0.8)
B =