In ΔNOP, the measure of ∠P=90°, PO = 48, NP = 55, and ON = 73. What is the value of the sine of ∠N to the nearest hundredth?

Respuesta :

Answer:

[tex]\sin(N) = 0.66[/tex]

Step-by-step explanation:

Given

[tex]\angle P = 90^o[/tex]

[tex]PO = 48; NP = 55; ON = 73[/tex]

Required

[tex]\sin(N)[/tex]

The given parameters is illustrated with the attached image.

From the attached, we have:

[tex]\sin(N) = \frac{Opposite}{Hypotenuse}[/tex]

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

[tex]\sin(N) = \frac{48}{73}[/tex]

[tex]\sin(N) = 0.66[/tex] -- approximated