jgilligan2624 jgilligan2624
  • 15-04-2020
  • Mathematics
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In ΔNOP, the measure of ∠P=90°, ON = 5, PO = 3, and NP = 4. What is the value of the sine of ∠N to the nearest hundredth?

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Alleei Alleei
  • 20-04-2020

Answer : The value of [tex]\sin \angle N[/tex] is, 0.60

Step-by-step explanation :

Given:

In right angle triangle NPO,

∠P = 90°

ON = 5

PO = 3

NP = 4

According to trigonometric function,

[tex]\sin \theta=\frac{Perpendicular}{Hypotenuse}[/tex]

[tex]\sin \angle N=\frac{PO}{ON}[/tex]

[tex]\sin \angle N=\frac{3}{5}=0.60[/tex]

Thus, the value of [tex]\sin \angle N[/tex] is, 0.60

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