Answer:
x=7.5
Step-by-step explanation:
the triangle listed is a 30-60-90 triangle. the shortest side is 1/2 of the longest sides thats not the hypotenuse. the attachment below should hopefully help!
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
we can solve for ∠T
Cos(T) = Adj / Hyp
Cos(T) = 15 / 17
T = arcCos(15/17)
T = 28.0724 °
now lets solve for x
Sin(T) = Opp / Hyp
Sin(28.0724) = X / 17
17 * Sin(28.0724) = X
8 = X
