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Mathematics

Answered

In ΔNOP, n = 800 inches, ∠P=97° and ∠N=32°. Find the length of o, to the nearest inch.

Answer :

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9514 1404 393

Answer:

1173 in

Step-by-step explanation:

The measure of angle O is ...

O = 180° -N -P = 180° -32° -97° = 51°

The law of sines tells you ...

o/sin(O) = n/sin(N)

o = n·sin(O)/sin(N) = (800 in)·sin(51°)/sin(32°)

o ≈ 1173 in

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