marcias house is approx. 10 miles east of the airport. a jet is flying directly over her house after taking off from the airport and flying approx. 12 miles. approx how many miles high is the jet when it flys over marcias house?
To calculate the approximate height of the jet when it flies over Marcia's house, we need to apply the Pythagorean theorem. This theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the distance between Marcia's house and the airport (the horizontal side of the triangle) is 10 miles, and the total distance the jet has flown (the hypotenuse of the triangle) is 12 miles. Let's call the height of the jet h.
Using the Pythagorean theorem, we can write the equation as follows:
10^2 + h^2 = 12^2
Simplifying this equation, we have:
100 + h^2 = 144
Subtracting 100 from both sides, we get:
h^2 = 144 - 100
h^2 = 44
Taking the square root of both sides, we find:
h ≈ √44
h ≈ 6.63
Therefore, the jet is approximately 6.63 miles high when it flies over Marcia's house.