Question

What is the measure of angle P?

Answer 1

Answer: the picture is not correct with the answer

Step-by-step explanation:

Answer 2

Answer:

$\angle P\approx67.38\textdegree$

Step-by-step explanation:

We want to find the measure of ∠P.

To do so, we can use one of the three trigonometric functions.

Since we know the lengths of all of the sides, it doesn't matter which one we use. We will get the same result.

Let's use the sine function. Remember that sine is:

$\sin(x)=\frac{\text{opposite}}{\text{hypotenuse}}$

Substitute ∠P for x. So:

$\sin(\angle P)=\frac{\text{opposite}}{\text{hypotenuse}}$

The opposite side to ∠P is 12. The hypotenuse is 13. So:

$\sin(\angle P)=\frac{12}{13}$

Take the inverse sine (arc-sine) of both sides:

$\angle P=\sin^{-1}(\frac{12}{13})$

Use a calculator. Make sure you're in degrees mode!

So, the measure of our angle is:

$\angle P\approx67.38\textdegree$

And we're done!