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.
+134 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 :)
