Question

Find the value of b.

Answer 1

b = 12
`√(2)`

Explanation:

Using the sine ratio in the right triangle and the exact value

sin45° =
`(1)/(√(2) )`

From the triangle

sin45° =
`(opposite)/(hypotenuse)` =
`(12)/(b)` =
`(1)/(√(2) )`

Cross- multiply

b = 12
`√(2)`

Answer 2

b ≈ 17

Explanation:

Using trigonometric ratio, sine we can find side b.

sine x = opposite/hypotenuse

sin 45 = 12/b

b ≈ 17