Question

Please help!! solve ΔPQR Your answer should include the length of r and the measures of angle P and angle Q.

Include all relevant calculations, and use the correct units for all measures. Be sure explanations are written in complete sentences.

Answer 1

9514 1404 393

Answer:

• r ≈ 15.90 m
• P ≈ 63.27°
• Q ≈ 26.73°

Explanation:

The triangle is a right triangle, so the length of r can be found using the Pythagorean theorem.

r = √(14.2² +7.15²) = √252.7625

r ≈ 15.8985 ≈ 15.90 . . . meters

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The angles can be found from the tangent relation.

Tan = Opposite/Adjacent

tan(P) = 14.2/7.15

P = arctan(14.2/7.15) ≈ 63.2738° ≈ 63.27°

Angle Q is the complement of angle P.

Q = 90° -63.27° = 26.73°