Answer:
The answer to your question is: L = 30 ft
Step-by-step explanation:
Data
man = 6 ft
man shadow = 5 ft
lamppost shadow = 25 ft
lamppost height = ? = L
Process
L = 30 ft
RS is perpendicular to MN and PQ.
We can use the slopes of these lines to determine the answer.
Slope is given by the formula
m=.
Using the coordinates for M and N, we have:
m=.
Since PQ is parallel to MN, its slope will be as well, since parallel lines have the same slope.
Using the coordinates for points T and V in the slope formula, we have
m=.
This is not parallel to MN or PQ, since the slopes are not the same.
We can also say that it is not perpendicular to these lines; perpendicular lines have slopes that are negative reciprocals (they are opposite signs and are flipped). This is not true of TV either.
Using the coordinates for R and S in the slope formula, we have
m=. Comparing this to the slope of RS, it is flipped and the sign is opposite; they are negative reciprocals, so they are perpendicular.
The area of the rectangular garden given the length and width is 16 1/2 square feet
<h3> Area of the garden</h3><h3 />
- Length = 5 1/2 feet
- Width = 3 feet
Area of a rectangular garden = length × width
= 5 1/2 feet × 3 feet
= 11/2 × 3
= 33/2
= 16 1/2 square feet
Learn more about area:
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