Question

Find the measure of angle P in the triangle below

Answer 1

this is the triangle i need to figure out

Answer 2

Do you know how to use cos and sin?

Answer 3

kind of im beginning on it. most problems, no i have no clue they have t be extremely short and simple

Answer 4

It is a right triangle.

Answer 5

meaning.....?

Answer 6

cos p = opposite/ hypotnus

Answer 7

Meaning you can use the law of sin for right triangle. Specifically
Sin P =48/60

Answer 8

thats it? 48/60?

Answer 9

cos p = 48/60

Answer 10

Yes for sin for Cos use 36/60

Answer 11

thank you

Answer 12

Maybe I have it backwards.

Answer 13

Sin P = opposite side (48) / hypotenuse (60)

Answer 14

Did you get 53.13 degrees?

Answer 15

Even though it is not indicated a right triangle, it is because:\[48^{2}+36^{2}=60^{2}\]

Answer 16

I'm actually stuck on the same problem, what do you do with P? In other words, how'd you get 53.13?

Answer 17

I would first solve for the Sin of P Which is equal to One of the sides divided by the hypotenuse (it is a right triangle) Let me check my notes as there was some debate whether to solve for cosine vs sine. Be back in a minute.

Answer 18

Okay no worries! The subject is focused on Law of Cosines so I would assume to use Cosine.

Answer 19

It is sine theta it is equal to opposite side divided by the hypotenuse or for this triangle is 48/60 or giving it a value of 0.8 Now take the inverse sin of 0.8 to get the measure of the angle.

Answer 20

Ohh okay; understood! Thank you so much!

Answer 21

Actually one more thing... how would you find angle Q?

Answer 22

Did you get 53.13 degrees for angle P? Better yet is that one of your answer options?

Answer 23

It's an open answer so I'm not given choices.

Answer 24

Yes I did!

Answer 25

Angle Q is the right angle (90 degrees) and there are several methods to use. One easy way is to sa y, Sin Q = 60/60 = 1, and inverse sin 1 = 90 degrees, but to be sure do this:

Answer 26

To do..?