Question

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

Answer 1

Answer:

sinΘ = $\frac{24}{25}$

Step-by-step explanation:

sinΘ = $\frac{opposite}{hypotenuse}$

The opposite is 24, but we require the hypotenuse h

Using Pythagoras' identity

h² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )

h = $\sqrt{625}$ = 25

Thus

sinΘ = $\frac{24}{25}$