Find sinθ, where θ is the angle shown.

Question

Angle is a triangle

the hypotenuse is 5

the base is 3

the sinθ is at the bottom of the corner between the hypotenuse and base.

Give an exact value, not a decimal approximation

Answer 1

By the Pythagorean Theorem the side opposite the angle is 4.

Sine (angle) = opposite/hypotenuse = 4/5 = 0.8