One end of a ladder is 10 feet from the base of the wall, and the other end reaches a window in the wall. The ladder is 2 feet longer than the height of the window.

a. Choose a variable for the height of the window. Make a sketch of the situation described, and label the sides of a right triangle.
b. Write a quadratic equation about the height, h, of the window.

c. Solve your equation to find the height of the window.

Question

One end of a ladder is 10 feet from the base of the wall, and the other end reaches a window in the wall. The ladder is 2 feet longer than the height of the window.

a. Choose a variable for the height of the window. Make a sketch of the situation described, and label the sides of a right triangle. 
b. Write a quadratic equation about the height, h, of the window.      

c. Solve your equation to find the height of the window.

directrix · Answer

Use the Pythagorean Theorem to solve for x:

x^2 + 10^2 = (x + 2) ^ 2


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