Question

Find the morning side.round your answer to the nearest tenth. I would like to see the work please​

Answer 1

Explanation:

Remark

• x is opposite the 90 degree angle. It is the hypotenuse.
• 15 is opposite the 66 degree angle. It is the side opposite.
• The side opposite and the hypotenuse define the sin(theta).

Formula

sin(theta) = side opposite / hypotenuse

Givens

Theta = 66 degrees

Hypotenuse = x

Side Opposite = 15

Solution

• Sin(theta) = 15 / x Multiply both sides by x
• x*sin(theta) = 15 Divide by Sin(theta)
• x = 15/sin(theta)
• x = 15 / sin(66)
• sin(66) = 0.9135
• x = 15/ 0.9135
• x = 16.42