Question

In the figure below, a pole has two wires attached to it, one on each side, forming two right triangles.

Answer 1

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.