In Exercises 39–40, find h to the nearest tenth.
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Identify the right triangle PQR where PQ is the height h, and angle PQR is 90 degrees.

Note that angle SRP is 59 degrees and angle PSR is 38 degrees, with SR = 288 units.

Use the fact that the sum of angles in triangle PSR is 180 degrees to find angle PRS: \(180^\circ - 38^\circ - 59^\circ = 83^\circ\).

Apply the Law of Sines in triangle PSR to find the length of PR: \(\frac{PR}{\sin 38^\circ} = \frac{288}{\sin 83^\circ}\), then solve for PR.

Use the right triangle PQR and angle 59 degrees to find height h by using \(h = PR \times \sin 59^\circ\).

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