Question

Please help!
The picture shows a water slide. What is the length of side AC of the water slide?

4.04 feet

3.50 feet

12 feet

14 feet

Answer 1

This question will be an application of sine law:

\[\frac{ \sin(A) }{ A }=\frac{ \sin(B) }{ B }\]

Lets look at what we know:

Side C length: 7 feet
Side C angle : 30 degrees
Side B lenght: unknown
Side B angle: 90 degrees

Thus:

\[\frac{ \sin(30) }{ 7 }=\frac{ \sin(90) }{ x }\]
where x is the unknown

Now we rearrange:

\[x*\frac{ \sin(30) }{ 7 } = \sin(90)\]

We should known that sin(90) is 1
thus:
\[x*\frac{ \sin(30) }{ 7 } = 1\]
Multiply both sides by 7:
\[x*sin(30) = 7\]
Divide both sides by sin(30) to solve for x:
x = 7 / sin(30) = 14

Thus the length of side ac is 14 feet

Answer 2

@carson889 ok one sec, let me review

Answer 3

@carson889 Wow your awesome, thanks for the help :)

Answer 4

Your very welcome!