Katie is watching a helicopter flying at an altitude of 5 miles. If the angle of elevation is pi/3 , the distance between Katie and the helicopter is approximately miles.
From SOH CAH TOA, you know that .. Sin = Opposite/Hypotenuse .. sin(π/3) = (5 miles)/Hypotenuse .. Hypotenuse = (5 miles)/sin(π/3) = 5/(√3/2) miles ≈ 5.774 miles
The straight-line distance from Katie to the helicopter is about 5.77 miles.