Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Explore in-depth answers to your questions from a knowledgeable community of experts across different fields. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
Jackson's method to figure out the height of the mountain is from the
similar triangles formed by the light using the mirror.
Response:
- The height of the mountain is 50 feet 8 inches
Which methods can used to find the height of the mountain?
The given parameters are;
Distance of the mirror from Jackson = 5 feet
Distance of the mirror from the base of the mountain = 40 feet
Height of Jackson = 6'4'' tall
Required:
The approximate height of the mountain, h
Solution:
The triangles formed by the light from the top of the mountain which is
reflected to Jackson from the mirror, Jackson's height, the height of the
mountain, and their distances from the mirror, are similar triangles.
The ratio of corresponding sides of similar triangles are equal, therefore,
we have;
[tex]\dfrac{Jackson's \ height}{Jackson's \ distance \ from \ the \ mirror } =\mathbf{ \dfrac{Height \ of \ the \ mountain}{Distance \ of \ the \ mountain \ from \ the \ mirror}}[/tex]
Which gives;
[tex]\dfrac{6\frac{1}{3} \, ft.}{5 \, ft.} = \mathbf{ \dfrac{h}{40 \, ft.}}[/tex]
[tex]h = 480 \, in. \times \dfrac{76 \, in.}{60 \, in.} = 608 \, in. = \mathbf{50 \frac{2}{3} \, ft. = 50 \, feet \ 8 \, inches}[/tex]
- The height of the mountain is approximately 50 feet 8 inches
Learn more about similar triangles here:
https://brainly.com/question/23467926

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.