Question

What is the length of AC?

Answer 1

we have that

`AB=34`
sin ∠ABC=
`(8)/(17)`

we know that
in the right triangle ABC
sin ∠ABC is equal to
`(AC)/(AB)`
AC is the opposite side angle B
AB is the Hypotenuse

sin ∠ABC=
`(8)/(17)` equation 1

sin ∠ABC=
`(AC)/(34)` equation 2

equate equation 1 and equation 2


`(8)/(17) = (AC)/(34) \\ \\ AC=34* (8)/(17) \\ \\ AC=16`

the answer is

`AC=16`

Answer 2

The sin <ABC means that AC/AB. So we know AB=34. AC/AB=8/17. So the length of AC is 16. cos<ABC means BC/AB. tan<ABC means AC/BC.