Math  /  Trigonometry

QuestionRefer to right triangle ABCA B C with C=90C=90^{\circ} as shown in the figure (not drawn to scale). Solve for all remaining parts using the given information. Round side lengths to the nearest hundredth of a foot and angle measures to the nearest hundredth of a degree. b=18.26ft,c=21.50ftb=18.26 \mathrm{ft}, c=21.50 \mathrm{ft} a=11.33b=\begin{array}{l} a=11.33 \\ b= \end{array} \square c=c= \qquad A=31.73B=58.27\begin{array}{l} A=31.73 \\ B=58.27 \end{array}

Studdy Solution
Verify the trigonometric identities for consistency:
sinB=cosA=bc,sinA=cosB=ac \sin B = \cos A = \frac{b}{c}, \quad \sin A = \cos B = \frac{a}{c}
_SOLUTION_: Side a11.36a \approx 11.36 ft, Angle A31.73A \approx 31.73^{\circ}, Angle B58.27B \approx 58.27^{\circ}.

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