Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
Bartleby Related Questions Icon

Related questions

Q: A=30degrees b=8cm c=5cm  solve for missing parts of the triangle
A:
Q: Solve the triangle A = 56°, C = 24°, a = 22.Round lengths to the nearest tenth and angle measures to…
A: Given that, A=56°, C=24°, a=22 We have two angles and one side,  We know the sine law, The law of…
Q: Jimmy places a mirror on the ground 45 ft from the base of a geyser. He walks backward until he can…
A:
Q: Solve the triangle a=72.7m, c=41.3m and B=17.9degrees. Find A
A: The Law of Cosines says: b2 = a2 + c2 − 2ac cos(B), here a, b and c are sides. B is the angle…
Q: Solve the triangle ABC. a=10 and c=20. Use standard lettering. If solution does not exist state why
A:
Q: Triangle ABC is isosceles with AB = AC. D is a point on AC such that BD bisects angle ABC. Given…
A:
Q: 1 Diego needs to install a support beam to hold up his new birdhouse, as modeled below. The base of…
A:
Q: solve triangle ABC if a=86.14in b=253.2in c=241.9in
A:
Q: Solve the right triangle using the given information.   a=76.7 ​yd, b=41.7 yd   The length of c is…
A: Pythagoras Theorem is used.
Q: solve the triangle B= 33 b=50.3 A= 57
A:
Q: Solve the triangle.   a=7.231 in     c=6.146 in     B=78.63
A:
Q: In ▵DEF, ∠E = 120°, e = 10.5 cm, and f = 12.5 cm. How many triangle solutions are possible? Explain.…
A:
Question
**Using Similar Triangles to Solve for the Height of a Tree** **Problem Statement:** A person who is 6 feet tall is standing 154 feet from the base of a tree. The tree casts a 165-foot shadow. The person's shadow is 11 feet in length. What is the height of the tree? **Diagram Explanation:** - The diagram shows two similar triangles. - The smaller triangle consists of: - A vertical line representing the person who is 6 feet tall. - A horizontal line representing the person’s shadow, which is 11 feet long. - The larger triangle consists of: - A vertical line representing the tree. - A horizontal line representing the tree's shadow, which is 165 feet long, starting from a distance of 154 feet from the tree's base. **Solution:** - Use the properties of similar triangles to set up a proportion: \[ \text{Height of the Person} / \text{Length of Person's Shadow} = \text{Height of the Tree} / \text{Length of Tree's Shadow} \] - Substitute the known values: \[ 6 \text{ ft} / 11 \text{ ft} = \text{Height of the Tree} / 165 \text{ ft} \] - Solve for the height of the tree. **Conclusion:** By solving the proportion, you can determine the height of the tree using the similarity of triangles.
expand button
Transcribed Image Text:**Using Similar Triangles to Solve for the Height of a Tree** **Problem Statement:** A person who is 6 feet tall is standing 154 feet from the base of a tree. The tree casts a 165-foot shadow. The person's shadow is 11 feet in length. What is the height of the tree? **Diagram Explanation:** - The diagram shows two similar triangles. - The smaller triangle consists of: - A vertical line representing the person who is 6 feet tall. - A horizontal line representing the person’s shadow, which is 11 feet long. - The larger triangle consists of: - A vertical line representing the tree. - A horizontal line representing the tree's shadow, which is 165 feet long, starting from a distance of 154 feet from the tree's base. **Solution:** - Use the properties of similar triangles to set up a proportion: \[ \text{Height of the Person} / \text{Length of Person's Shadow} = \text{Height of the Tree} / \text{Length of Tree's Shadow} \] - Substitute the known values: \[ 6 \text{ ft} / 11 \text{ ft} = \text{Height of the Tree} / 165 \text{ ft} \] - Solve for the height of the tree. **Conclusion:** By solving the proportion, you can determine the height of the tree using the similarity of triangles.
Expert Solution
Check Mark
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
bartleby
This is a popular solution
See solutionCheck out a sample Q&A here
Step 1
VIEW
Step 2
VIEW
bartleby

Trending nowThis is a popular solution!

bartleby

Step by stepSolved in 2 steps with 2 images

See solution
Check out a sample Q&A here
Blurred answer
Knowledge Booster
Background pattern image
Similar questions
Recommended textbooks for you
Text book image
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
Text book image
Elementary Geometry for College Students
Geometry
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Cengage Learning
SEE MORE TEXTBOOKS