Concept explainers
a)
To write: A proportion that could be used to calculate the height h of flagpole.
- To know the information, required to solve this proportion.
a)
Answer to Problem 16HP
Required proportion is,
Explanation of Solution
Given information:
Following two similar
Concept used:
In similar triangles, the ratio of corresponding sides is equal always. So, in given similar triangles,
Calculation: Based on above proportion, set,
On cross multiply,
b)
To know: The information, required to solve this proportion.
b)
Answer to Problem 16HP
Information required to solve this proportion for height h is:
- Height of the man (b) Distance of flagpole from mirror (c ) height of man (d) Distance of man from mirror
Explanation of Solution
Given information:
Following two similar triangles ABC and EDC:
Concept used:
In similar triangles, the ratio of corresponding sides is equal always. So, in given similar triangles,
Based on above proportion and calculation done, to get the height of the flag, distance of flagpole from mirror, distance of man from mirror and height of man should be known.
So, to calculate the required height, one must know the height of man, distance of flagpole from mirror and distance of man from mirror.
Chapter 6 Solutions
Pre-Algebra Student Edition
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