A zip line runs from the top of a platform on the edge of a pond to the ground across the pond. A camp counselor places mirror on the edge of the pond across from the platform and stan until the top of the platform is visible in the mirror. 6 ft F4 ft+ 180 ft Not drawn to scale. (a) Are the two triangles formed similar? Explain your reasoning. Both triangles are right triangles. The angles made at the mirror on the ground are congruent. Therefore, the triangles are similar. (b) Find the length of the zip line. (Round your answer to the nearest foot.) 30 X ft

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
icon
Related questions
Question
A zip line runs from the top of a platform on the edge of a pond to the ground across the pond. A camp counselor places a mirror on the edge of the pond across from the platform and stands back
until the top of the platform is visible in the mirror.
6 ft
F4 ft+
180 ft
Not drawn to scale.
(a) Are the two triangles formed similar? Explain your reasoning.
Both triangles are right triangles. The angles made at the mirror on the ground are
congruent. Therefore, the triangles are
similar.
(b) Find the length of the zip line. (Round your answer to the nearest foot.)
30
X ft
Transcribed Image Text:A zip line runs from the top of a platform on the edge of a pond to the ground across the pond. A camp counselor places a mirror on the edge of the pond across from the platform and stands back until the top of the platform is visible in the mirror. 6 ft F4 ft+ 180 ft Not drawn to scale. (a) Are the two triangles formed similar? Explain your reasoning. Both triangles are right triangles. The angles made at the mirror on the ground are congruent. Therefore, the triangles are similar. (b) Find the length of the zip line. (Round your answer to the nearest foot.) 30 X ft
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Basics (types, similarity, etc)
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning