Question

6.Find the missing value. Show your work. Round to the nearest hundredth. a. b. c.

Answer 1

Here the base angle given is 51°.

The side opposite to 51° is y

The hypotenuse is given as 12.

The trigonometric ratio associating opposite & hypotenuse is sin

We know sin = Opposite/ Hypotenuse

Substituting the values   of angle , opposite & hypotenuse

We have

y/12 = sin 51°

Multiplying both sides by 12 we get

y=12 × sin 51°

y = 9.326

Rounding to the nearest hundredths we get

y = 9.33