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Taylor is looking out of a window. Her eyes are 900 feet above ground. She sees a car outside the window that is 1550 feet from her.  Write and solve an equation to find approximately how far the car is from the entrance to the building. 

 Apr 30, 2021
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Because Taylor is 900 feet above ground, and the car is 1550 feet away from her, we can assume that the building is a straight vertical building so that we can use the Pythagorean Theorem to solve this.

 

 

\({a}^{2} + {b}^{2} = {c}^{2}\)

 

So:

 

Because 1550 is the hypotenuse, and 900 is the length of the vertical leg, we can make this equation:

 

\({a}^{2} + {900}^{2} = {1550}^{2}\)

 

\({1550}^{2} - {900}^{2} = {a}^{2}\)

 

\(2,402,500 - 810,000 = {a}^{2}\)

 

\(1592500 = {a}^{2}\)

 

\(\sqrt{1592500} = a\)

 

\(1261.9429464123962526 = a\)

 

 

So, a is aproximately 1261.94.

 

 

 

Hope this helps :)

 Apr 30, 2021

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