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In ΔOPQ, the measure of ∠Q=90°, the measure of ∠P=54°, and OP = 68 feet. Find the length of PQ to the nearest foot.

Respuesta :

calculista

Answer:

[tex]PQ=40\ ft[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle OPQ

[tex]cos(P)=\frac{PQ}{OP}[/tex] ----> by CAH (adjacent side divided by the hypotenuse)

substitute the given values

[tex]cos(54^o)=\frac{PQ}{68}[/tex]

solve for PQ

[tex]PQ=(68)cos(54^o)=40\ ft[/tex]

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