Find sinθ, where θ is the angle shown.

Question

Angle is a triangle

the other side is 24 (not the hypotenuse side)

the base is 7

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

Give an exact value, not a decimal approximation

Answer 1

In the right triangle, the lengths of sides are 7 and 24.

Calculating hypotenuse, h:

h = √24² + 7² = 25 ← Pythagorean theorem

sin(θ) = (opposite side)/(hypotenuse) = 24/25 = 0.96

Answer 2

Draw and label a diagram!

Hypotenuse is 25 (Pythagoras)

sin θ = 24 / 25