The point p(15, 20) is on the terminal side of θ. Evaluate sin θ.

Solution:

Let the length of the opposite side a = 20.

The length of the adjacent side b = 15.

By Pythagoras theorem,

a² + b² = c²

(20)² + (15)² = c²

c² = 400 = 225

c² = 625

c = 25

Here, c = hypotenuse

sin θ = opposite side / hypotenuse

sin θ = 20/25

sin θ = 4/5

Therefore, the value of sin θ = 4/5.

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The point p(15, 20) is on the terminal side of θ. Evaluate sin θ.

Summary:

For the point (15, 20) on the terminal side of an angle θ, the value of sin θ = 4/5.