Solve the problem.
-$$\mathrm { a } = 4 , \mathrm { c } = 3 , \beta = 90 ^ { \circ }$$
A) $\mathrm { b } = 5 , \alpha = 36.9 ^ { \circ } , \gamma = 53.1 ^ { \circ }$
B) $b = 6 , \alpha = 53.1 ^ { \circ } , \gamma = 36.9 ^ { \circ }$
C) $b = 4 , \alpha = 36.9 ^ { \circ } , \gamma = 53.1 ^ { \circ }$
D) $b = 5 , \alpha = 53.1 ^ { \circ } , \gamma = 36.9 ^ { \circ }$

Question

Quizplus · Accepted Answer

In a right triangle with $\beta = 90^\circ$, use the Pythagorean theorem: $b = \sqrt{a^2 + c^2} = \sqrt{4^2 + 3^2} = 5$. Use trigonometric ratios to find angles: $\alpha = \arctan(\frac{3}{4}) \approx 36.9^\circ$ and $\gamma = 90^\circ - \alpha \approx 53.1^\circ$.

Solve the Problem a=4,c=3,β=90∘\mathrm { a } = 4 , \mathrm { c } = 3 , \beta = 90 ^ { \circ }a=4,c=3,β=90∘

Solve the Problem $\mathrm { a } = 4 , \mathrm { c } = 3 , \beta = 90 ^ { \circ }$