The geometry technique that Chee uses to find the height of the goalpost is the equal ratio of the corresponding sides of similar triangles.
Correct response:
- The eight of the goalpost is approximately <u>16.91 meters</u>.
<h3>Methods used to calculate the height</h3>
The length Chee is using the mirror to measure = The height of her school's football goalpost
The distance of the mirror from the goalpost = 14.35 meters
The distance on the other side of the mirror Chee steps to = 1.4 meters
The distance from her eyes to the ground = 1.65 meters
Required:
How tall is the goalpost.
Solution:
By using similar triangles relationships, we have;
![\dfrac{1.65}{1.4} = \mathbf{\dfrac{Height \ of \ the \ goalpost, h}{14.35} }](https://tex.z-dn.net/?f=%5Cdfrac%7B1.65%7D%7B1.4%7D%20%3D%20%5Cmathbf%7B%5Cdfrac%7BHeight%20%5C%20of%20%5C%20the%20%5C%20goalpost%2C%20h%7D%7B14.35%7D%20%7D)
Which gives;
![h = \dfrac{1.65}{1.4} \times 14.35 = 16.9125 \approx \mathbf{ 16.91}](https://tex.z-dn.net/?f=h%20%3D%20%5Cdfrac%7B1.65%7D%7B1.4%7D%20%5Ctimes%2014.35%20%3D%2016.9125%20%5Capprox%20%5Cmathbf%7B%2016.91%7D)
- The height of the goalpost, h ≈ <u>16.91 meters</u>
Learn more about similar triangles here:
brainly.com/question/10676220