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3 years ago

What is measure of angle P?

Mathematics

2 answers:

masya89 [10]3 years ago

6 0

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

Oliga [24]3 years ago

5 0

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,

$\sin P=\frac{Perpendicular}{Hypotenuse}$

i.e. $\sin P=\frac{15}{17}$

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°.

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