Question

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

Answer 1

sinΘ =
`(24)/(25)`

Explanation:

sinΘ =
`(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 =
`√(625)` = 25

Thus

sinΘ =
`(24)/(25)`