Question

Ay, help?
What is the measure of angle P?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

​m∠P=​
°

Answer 1

Answer:

P=67.38

Step-by-step explanation:

All three sides are given. You can use any one of the the three major functions on your calculator to g

Adjacent = PQ = 5

Hypotenuse = PR = 13

Cos(P)  = Adjacent / Hypotenuse

Cos(P) = 5/13

Cos(P) = .3846

Now you need to use the inverse cos to get P

P = cos-1(.3846)

P =67.38

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Now we'll try the tangent

Tan(P) = opposite / adjacent

Tan(P) = 12/5

Tan(P) =2.4

P = Tan-1(2.4)

P = 67.38

Both functions give the same thing

Answer 2

$\\ \rm\Rrightarrow cosP=\dfrac{Base}{Hypotenuse}$

$\\ \rm\Rrightarrow cosP=\dfrac{5}{13}$

$\\ \rm\Rrightarrow cosP=0.38$

$\\ \rm\Rrightarrow P=cos^{-1}(0.38)$

$\\ \rm\Rrightarrow P=67.67°$