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Anni [7]
3 years ago
10

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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<h2>140°</h2>

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90 + 145 + 115 + 2x + x + 160 = 720 \\ 510 + 3x = 720 \\3x + 510 = 720 \\ 3x + 510 - 510 = 720 - 510 \\ 3x = 210 \\  \frac{3x}{x}  =  \frac{210}{3}  \\ x = 70 \: degree

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