Question

Can i get some help ‍♂️

Answer 1

`AC=13.5`

Explanation:

Use the Law of Sines as follows:

`(sinA)/(a) =(sinB)/(b)`

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

`(sin25)/(14) =(sin24)/(b)`

Isolate b. Multiply both sides by b:

`b*((sin25)/(14) )=b*((sin24)/(b))\\\\b*(sin25)/(14)=sin24`

Multiply both sides by 14:

`14*(b*(sin25)/(14))=14*(sin24)\\\\b*sin25=14*sin24`

Isolate b. Divide both sides by sin 25:

`(b*sin25)/(sin25) =(14*sin24)/(ysin25) \\\\b=(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