3 years ago

Try this please if you can. Thanks!

Mathematics

1 answer:

DerKrebs [107]3 years ago

4 0

<h3>Answer:</h3>

PR ≈ 14.50

<h3>Step-by-step explanation:</h3>

Since ∠Q is a right angle, the area can be found from ...

... A = (1/2)bh = (1/2)(QP)(PR)

From trigonometry, we know ...

... QP = PR·cos(P) = PR·cos(36°)

... QR - PR·sin(P) = PR·sin(36°)

Substituting these values and the given area into the area formula gives ...

... 50 = (1/2)(PR·cos(36°))(PR·sin(36°))

... 100/(sin(36°)cos(36°)) = (PR)²

... PR = 10/√(sin(36°)cos(36°))

... PR ≈ 14.5015

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