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

Sagot :

Sqdancefanidn

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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