Answer:
Explanation:
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 are given the Hyp (38) and the Opp (13) and are being asked to find the Adj
So find the angle at the point that the string hits the ground
Sin(Ф)= 13 / 38
Ф = arcSin( 13 / 38 )
Ф = 20.00519°
now use the angle and one of the known sides to find the Adj side (length from the flag pole)
Tan(20.00519°) = 13 / Adj
Adj = 13 / Tan(20.00519°)
Adj = 35.707
dist. from flag pole to string is 35.71 feet (rounded to nearest 100th)