Question

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

Explanation:

Step1: Isolate the variable

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 $\sin(25^{\circ})$

We know that $\sin(25^{\circ})\approx0.4226$.

Step3: Calculate the value of $c$

$c=\frac{9}{0.4226}\approx21.3$.

Answer:

21.3 in