Question

In APQR, find the measure of Z.P.

Answer 1

Step-by-step explanation:

multiple possibilities.

e.g.

we could use Pythagoras to get QR, and then use the law of sine to get angle P.

or we can use the law of sine to get angle R, and then use the rule that the sum of all angles in a triangle is always 180° to get angle P.

I propose the second option :

the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

with a, b, c being the sides always opposite of their associated angles.

33.8/sin(R) = 57.6/sin(90) = 57.6

sin(R) = 33.8/57.6 = 0.586805555...

R = 35.93064691...°

180 = 90 + 35.93064691... + P

P = 54.06935309...°