We are trying to find the average speed of the plane, which is mph, or
. Using proportions, we can find the average speed of the plane in mph:
![\dfrac{525 \,\, \textrm{miles}}{1.75 \,\,\textrm{hours}} = \dfrac{x \,\, \textrm{miles}}{1 \,\,\textrm{hour}}](https://tex.z-dn.net/?f=%5Cdfrac%7B525%20%5C%2C%5C%2C%20%5Ctextrm%7Bmiles%7D%7D%7B1.75%20%5C%2C%5C%2C%5Ctextrm%7Bhours%7D%7D%20%3D%20%5Cdfrac%7Bx%20%5C%2C%5C%2C%20%5Ctextrm%7Bmiles%7D%7D%7B1%20%5C%2C%5C%2C%5Ctextrm%7Bhour%7D%7D)
- Use the information from the problem to create a proportion. Remember that we are looking for mph, so we will call that
.
![\dfrac{525}{1.75} \,\textrm{miles} = x \,\textrm{miles}](https://tex.z-dn.net/?f=%5Cdfrac%7B525%7D%7B1.75%7D%20%5C%2C%5Ctextrm%7Bmiles%7D%20%3D%20x%20%5C%2C%5Ctextrm%7Bmiles%7D)
- Multiply the entire equation by
![1 \,\textrm{hour}](https://tex.z-dn.net/?f=1%20%5C%2C%5Ctextrm%7Bhour%7D)
![\dfrac{525}{1.75} = 300 = x](https://tex.z-dn.net/?f=%5Cdfrac%7B525%7D%7B1.75%7D%20%3D%20300%20%3D%20x)
- Divide both sides of the equation by
to clear both sides of the mile unit
The average speed of the plane is 300 mph.
Answer:
15
Step-by-step explanation: trust me i have had the before
In this problem you use cosine because you know the hypotenuse and you want to know the adjacent side of the triangle. So in your calculator you would input cos(52). Then you would multiply that answer with the hypotenuse side. So your equation would be this: cos(52) x 13