Question

Find sin 0, where is the angle shown. Give an exact value, not a decimal approximation.

Answer 1

Answer:

sinθ = $\frac{24}{25}$

Step-by-step explanation:

By applying Pythagoras theorem in the given triangle,

Hypotenuse² = (Leg 1)² + (Leg 2)²

                      = (24)² + 7²

Hypotenuse = √625 = 25

By applying sine rule in the given triangle,

sinθ = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

Since, measure of opposite side = 24

Measure of hypotenuse = 25

Therefore, sinθ = $\frac{24}{25}$ will be the answer.