Question

Can i get some help ‍♂️

Answer 1

Answer:

$AC=13.5$

Step-by-step explanation:

Use the Law of Sines as follows:

$\frac{sinA}{a} =\frac{sinB}{b}$

Insert the values (use the steps from the last problem):

$\frac{sin25}{14} =\frac{sin24}{b}$

Isolate b. Multiply both sides by b:

$b*(\frac{sin25}{14} )=b*(\frac{sin24}{b})\\\\b*\frac{sin25}{14}=sin24$

Multiply both sides by 14:

$14*(b*\frac{sin25}{14})=14*(sin24)\\\\b*sin25=14*sin24$

Isolate b. Divide both sides by sin 25:

$\frac{b*sin25}{sin25} =\frac{14*sin24}{ysin25} \\\\b=\frac{14*sin24}{sin25}$

Insert the equation into a calculator and round to the nearest tenth:

$b=13.5$

The length of AC is 13.5 units.

:Done