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Usimov [2.4K]
3 years ago
13

A building casts a shadow 48 feet long. At the same time, a 40 foot tall flagpole cast a shadow 9.6 feet long. What is the heigh

t of the building

Mathematics
2 answers:
slavikrds [6]3 years ago
5 0
X is the variable used in place of the building's height. I apologize if you can't read my hand writing very well.

Shkiper50 [21]3 years ago
3 0

The height of the building is 200 feet

<h3>Further explanation</h3>

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

<em>m → gradient of the line</em>

<em>( 0 , c ) → y - intercept</em>

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

\large {\boxed {m = \frac{y_2 - y_1}{x_2 - x_1}} }

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

\large {\boxed {y - y_1 = m ( x - x_1 )} }

Let us tackle the problem.

This probem is about Directly Proportionality.

<u>Given</u> :

Length of Building's shadow = s₁ = 48 feet

Length of Flagpole's shadow = s₂ = 9.6 feet

Height of Flagpole = h₂ = 40 feet

<u>Unknown :</u>

Height of Building = h₁ = ?

<u>Solution :</u>

Because length of shadow is directly proportional to the height of the object , then :

s_1 : s_2 = h_1 : h_2

48 : 9.6 = h_1 : 40

h_1 = \frac{48}{9.6} \times 40

\large {\boxed {h_1 = 200 ~ \text{feet}} }

<h3>Learn more</h3>
  • Infinite Number of Solutions : brainly.com/question/5450548
  • System of Equations : brainly.com/question/1995493
  • System of Linear equations : brainly.com/question/3291576

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

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The equation of a line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 is y = -1/2x + 1

<h3>Equation of a line</h3>

A line is the shortest distance between two points. The equation of a line in point-slope form and perpendicular to a line is given as;

y - y1 = -1/m(x-x1)

where

m is the slope

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Substitute

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Write in slope-intercept form

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