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NARA [144]
2 years ago
10

324 ft

Mathematics
1 answer:
kotegsom [21]2 years ago
7 0

The distance between the flagpole and the building is the number of feet between them

The building is 162 feet from the flagpole

<h3>How to determine the distance</h3>

The given parameters are:

  • Flagpole = 40 feet
  • Building Shadow = 324 feet

The flagpole's shadow is 50% longer than the flagpole.

So, the length (l) of the flagpole's shadow is:

l = 40 * (1 + 50\%)

l = 60

The length of the building's shadow (d) is then calculated as:

60 : 40 =d :  324

Express as fraction

\frac{60}{40}= \frac{d}{324}

1.50 = \frac{d}{324}

Solve for d

d = 1.50 * 324

d = 486

The distance (x) of the building from the flagpole is then calculated as:

x = 486 - 324

x = 162

Hence, the building is 162 feet from the flagpole

Read more about distance and bearing at:

brainly.com/question/11744248

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SCORPION-xisa [38]

The equation of line is:

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Further explanation:

The standard form of equation in point-slope form is:

y = mx+b

Given equation is:

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We have to convert it into point slope form, for which we have to isolate y on one side of equation

3x+2y = 10\\2y = -3x +10\\y = \frac{-3}{2}x + \frac{10}{2}\\y = \frac{-3}{2}x + 5

Comparing with standard form:

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As the new line is parallel to given line, their slopes will be equal

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Keywords: Point-slope form, equation of line

Learn more about point-slope form of equation at:

  • brainly.com/question/1577690
  • brainly.com/question/1563227

#LearnwithBrainly

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Circle A is shown. Tangents L M and N M intersect at point M outside of the circle. Arc L N is 270 degrees. In the diagram of ci
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Answer:

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Step-by-step explanation:

The picture of the question in the attached figure

we know that

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minor\ arc\ LN=360^o-270^o=90^o

substitute the values

\angle m=\frac{1}{2}(270^o-90^o)=90^o

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