Question

What is measure of angle P?

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

Answer 1

Sin P = opp/hyp
sin P = 15/17
P = sin⁻¹(15/17)
P = 61.93° (nearest hundredth)

Answer 2

The measure of angle P is 61.93°

Explanation:

We are given a right triangle with measures 8 cm, 15 cm and 17 cm.

For angle P, we see that,

Perpendicular = 15 cm

Hypotenuse = 17 cm

Using the trigonometric forms of the angles, we have,

`\sin P=(Perpendicular)/(Hypotenuse)`

i.e.
`\sin P=(15)/(17)`

i.e.
`\sin P=0.88235`

i.e.
`P=\arcsin 0.88235`

i.e. P = 61.93°

Hence, the measure of angle P is 61.93°.