Answer:
The measure of angle P is 61.93°
Step-by-step 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,
[tex]\sin P=\frac{Perpendicular}{Hypotenuse}[/tex]
i.e. [tex]\sin P=\frac{15}{17}[/tex]
i.e. [tex]\sin P=0.88235[/tex]
i.e. [tex]P=\arcsin 0.88235[/tex]
i.e. P = 61.93°
Hence, the measure of angle P is 61.93°.
