Answer:
D. 38
Step-by-step explanation:
Using the concept of SOH CAH TOA in trigonometry identity:
According to the left hand side of the right angled triangle;
Opposite side = p
Hypotenuse = 15
Using SOH identity to get p:
Sin47° = opposite/hypotenuse
Sin47° = p/15
p = 15sin47°
p = 10.97
This p = 10.97 will also be the opposite side for the triangle at the right and hypotenuse = 18.
Applying the SOH identity to get the measure of angle m° we have;
Sin m° = Opposite/Hypotenuse
Sin m° = 10.97/18
Sin m° = 0.609
m° = arcsin 0.609
m° = 37.5°
m = 38° to the nearest degree.
