9514 1404 393
Answer:
- r ≈ 15.90 m
- P ≈ 63.27°
- Q ≈ 26.73°
Step-by-step 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°
