Question

Find the measure of angle P in the triangle below.

Answer 1

53.13°

Explanation:

Using cosine law

48² = 60² + 36² - 2(60)(36)cos(P)

cos(P) = 0.6

P = 53.13010235°

Answer 2

sine^-1(48/60)

We take inverse sine because we don't have the angle we use SOHCAHTOA with. From p, we have an opposite side available, and a hypotenuse,

so based on sine it's sine, oppsosite, hypotenuse.

We take inverse sine because angle p isnt't given,

so

inverse sin (48/60) = 53 degrees = p