Question

the equation ( sin(25^{circ})=\frac{?}{?} ) can be used to find the length of ( overline{ab} ). what is the length of ( overline{ab} )? round to the nearest tenth. 21.3 in. 68.0 in. 19.3 in. 23.5 in.

Explanation:

Step1: Solve for \( c \)

Given \( \sin(25^{\circ})=\frac{9}{c} \), we can rewrite it as \( c=\frac{9}{\sin(25^{\circ})} \).
Using a calculator, \( \sin(25^{\circ})\approx0.4226 \).
So \( c = \frac{9}{0.4226}\approx21.3 \).

Answer:

21.3 in.