Question

The point P(18, 24) is on the terminal side of θ. Evaluate sin θ.

Answer 1

sin θ = opposite/hypotenuse
P(18,24) lies in the first quadrant as both are positive.
x=18
y=24
Hypotenuse  = sqrt (18^2 + 24^2)
Hypotenuse = 30
sin θ = 24/30
sin θ = 4/5
θ = sin^-1 (4/5) 
θ = 53.13 degrees

Answer 2

The final answer is 4/5.