Solve the right triangle shown in the figure. Round lengths to one decimal place and express angles to the nearest
tenth of a degree.
-$$\mathrm { a } = 10.6 , \mathrm { c } = 24.5$$
A) $\mathrm { A } = 25.6 ^ { \circ } , \mathrm { B } = 64.4 ^ { \circ } , \mathrm { b } = 22.1$
B) $\mathrm { A } = 25.6 ^ { \circ } , \mathrm { B } = 64.4 ^ { \circ } , \mathrm { b } = 26.7$
C) $\mathrm { A } = 66.6 ^ { \circ } , \mathrm { B } = 23.4 ^ { \circ } , \mathrm { b } = 26.7$
D) $\mathrm { A } = 25.6 ^ { \circ } , \mathrm { B } = 25.6 ^ { \circ } , \mathrm { b } = 22.1$

Question

Solve the right triangle shown in the figure. Round lengths to one decimal place and express angles to the nearest
tenth of a degree. 
-$$\mathrm { a } = 10.6 , \mathrm { c } = 24.5$$
A) $\mathrm { A } = 25.6 ^ { \circ } , \mathrm { B } = 64.4 ^ { \circ } , \mathrm { b } = 22.1$ 
B) $\mathrm { A } = 25.6 ^ { \circ } , \mathrm { B } = 64.4 ^ { \circ } , \mathrm { b } = 26.7$ 
C) $\mathrm { A } = 66.6 ^ { \circ } , \mathrm { B } = 23.4 ^ { \circ } , \mathrm { b } = 26.7$ 
D) $\mathrm { A } = 25.6 ^ { \circ } , \mathrm { B } = 25.6 ^ { \circ } , \mathrm { b } = 22.1$

Quizplus · Accepted Answer

Using the Law of Sines, $\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}$, and given values, the angles and side lengths in choice A are consistent with the given side lengths a and c.

Solve the Right Triangle Shown in the Figure a=10.6,c=24.5\mathrm { a } = 10.6 , \mathrm { c } = 24.5a=10.6,c=24.5

Solve the Right Triangle Shown in the Figure $\mathrm { a } = 10.6 , \mathrm { c } = 24.5$