Answer:
Step-by-step 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
