the equation sin(25°) = 9/c can be used to find the length of ab. what is the length of ab? round to the…
the equation sin(25°) = 9/c can be used to find the length of ab. what is the length of ab? round to the nearest tenth. 19.3 in. 21.3 in. 23.5 in. 68.0 in.
Answer
Explanation:
Step1: Isolate the variable c
Given $\sin(25^{\circ})=\frac{9}{c}$, we can cross - multiply to get $c\times\sin(25^{\circ}) = 9$. Then $c=\frac{9}{\sin(25^{\circ})}$.
Step2: Calculate the value of c
We know that $\sin(25^{\circ})\approx0.4226$. So $c=\frac{9}{0.4226}\approx21.3$.
Answer:
21.3 in.