1 mile = 5280 feet
1 hour = 3600 seconds
60 mil./h = 60 * 5280/ 3600 ft/s = 88 ft/s
The ordinate is the y element in an ordered pair in a Cartesian coordinate system. The quadrants in which the ordinates are positive should be at quadrants I and II. Therefore, the correct answer from the choices listed above is option A.
Given:
Height of Isabelle = 62 inches
Shadow of Isabelle = 93 inches
Shadow of tree = 279 inches
To find:
The height of the tree.
Solution:
Let height of tree be x.
Ratio of height to shadow for Isabelle and tree are
![\dfrac{\text{Height of Isabelle}}{\text{Shadow of Isabelle}}=\dfrac{62}{93}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BHeight%20of%20Isabelle%7D%7D%7B%5Ctext%7BShadow%20of%20Isabelle%7D%7D%3D%5Cdfrac%7B62%7D%7B93%7D)
![\dfrac{\text{Height of tree}}{\text{Shadow of tree}}=\dfrac{x}{279}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BHeight%20of%20tree%7D%7D%7B%5Ctext%7BShadow%20of%20tree%7D%7D%3D%5Cdfrac%7Bx%7D%7B279%7D)
The shadow of Isabelle and tree are proportional to their shadows. So, both ratios must be equal.
![\dfrac{x}{279}=\dfrac{62}{93}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B279%7D%3D%5Cdfrac%7B62%7D%7B93%7D)
Multiply both sides by 279.
![x=\dfrac{62}{93}\times 279](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B62%7D%7B93%7D%5Ctimes%20279)
![x=62\times 3](https://tex.z-dn.net/?f=x%3D62%5Ctimes%203)
![x=186](https://tex.z-dn.net/?f=x%3D186)
Therefore, the height of tree is 186 inches.