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In ΔOPQ, q = 110 inches, o = 970 inches and ∠P=167°. Find the area of ΔOPQ, to the nearest square inch.

Sagot :

Answer:

[tex]Area = 12004[/tex] square inches

Step-by-step explanation:

Given

[tex]q = 110[/tex]

[tex]o = 970[/tex]

[tex]\angle P =167[/tex]

Required

The area of the triangle

To do this, we use:

[tex]Area = \frac{1}{2} * o * q * sin(P)[/tex]

So, we have:

[tex]Area = \frac{1}{2} * 970 * 110 * sin(167^\circ)[/tex]

[tex]Area = \frac{1}{2} * 970 * 110 * 0.2250[/tex]

[tex]Area = 12003.75[/tex]

Approximate

[tex]Area = 12004[/tex]

Answer:

12001

Step-by-step explanation: