a flagpole casts a shadow 160 feet long. At the same time, a boy standing nearby who is 5 feet tall casts a shadow 20 feet long.
2 answers:
Answer:
The flagpole is 40 feet tall.
Step-by-step explanation:
So, we are looking for the height of the flagpole. Let <em>h</em> represent this height.
Boy - 5 feet in height and casts a 20-foot shadow
Flag pole - <em>h</em> feet in height and casts a 160-foot shadow
The relationship looks something like this:
5 : 20 :: h : 160
or
Now, we can cross multiply to find h!
So, the flagpole is 40 feet tall
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Answer: Option C - Construction Y because point E is the circumcentre of triangle LMN.
Point E is the best location for the warehouse as it is exactly equidistant from the three stores at L, M and N.
Step-by-step explanation:
Before solving an algebra problem, it sometimes helps to get a geometric picture of what's happening. Geometry says that three points determine a circle - in other words, given three points that are not
all on the same line, there is exactly one circle which passes through all 3. Finding the point equidistant from the 3 points is the same thing as finding the center of the circle that passes through all of them (since all points on a circle are equidistant from the center).
Our points are L, M and N. Draw the lines LM, LN and MN to form a triangle. Now construct the perpendicular bisectors of any two of the lines, and their intersection, point E, will be the center of this circle.
As shown in the Construction Y because E is the circumcentre of triangle LMN.
This is the best location for the warehouse as it is exactly equidistant from the three stores at L, M and N.
QED!
