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andrezito [222]
3 years ago
8

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?

Mathematics
1 answer:
mina [271]3 years ago
5 0

Answer:

<em></em>\sin(N) = 0.66<em></em>

<em></em>

Step-by-step explanation:

Given

\angle P = 90^o

PO = 48; NP = 55; ON = 73

Required

\sin(N)

The given parameters is illustrated with the attached image.

From the attached, we have:

\sin(N) = \frac{Opposite}{Hypotenuse}

\sin(N) = \frac{PO}{ON}

\sin(N) = \frac{48}{73}

<em></em>\sin(N) = 0.66<em> -- approximated</em>

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Distance Bill runs at maximum speed, d = 85 m - 45 m = 40 m

Time at which Bill runs the 40 m at maximum speed, <em>t</em> = 10 s - 5 s = 5 s

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The distance Bill travels in 3 seconds at the maximum speed is 24 meters.

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c. Bill's distance 6.5 seconds after the start of the race is given as follows;

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  • Bill's distance from the starting line 6.5 seconds after start of the race = 45 meters + 12 meters = <u>57 meters</u>

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