Basic Similarity Theorem1) A boy is standing at a point (A) 8m awayfrom the river. If BC = 6m and CD = 27m,%3Dhow wide is the river?Solution:The Pythagorean Theorem2) Keith and Kevin started bicyclingfrom the corner of Manga andBayabas streets. At a particulartime, Keith had covered 12 metersand Kevin 5 meters. How far apartwere they at that time?Solution:Bayabas St.Special Right Triangle Theorem3) How long is the ladder that makes an angle of 60° with the side of a brick wall andwhose foot rests 6V10 meters from the base of the wall?Solution:600→ Manga St.

First, draw the diagram representing this scenario. Then, use the similarity relation to calculate…

Answered: A boy is standing at a point (A) 8m…

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A boy is standing at a point (A) 8m away from the river. If BC = 6m and CD = 27m, %3D %3D how wide is the river?

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section3.2: Law Of Cosines

Problem 51E: Navigation A boat race runs along a triangular course marked by buoys A,B, and C. The race starts...

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Concept explainers

Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.

Question

Basic Similarity Theorem
1) A boy is standing at a point (A) 8m away
from the river. If BC = 6m and CD = 27m,
%3D
how wide is the river?
Solution:
The Pythagorean Theorem
2) Keith and Kevin started bicycling
from the corner of Manga and
Bayabas streets. At a particular
time, Keith had covered 12 meters
and Kevin 5 meters. How far apart
were they at that time?
Solution:
Bayabas St.
Special Right Triangle Theorem
3) How long is the ladder that makes an angle of 60° with the side of a brick wall and
whose foot rests 6V10 meters from the base of the wall?
Solution:
600
→ Manga St.

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