In this scenario, we can use similar triangles to find the height from the ground to the base of the window.
Since triangles WXY and WXZ are similar, we can set up a proportion:
XY / XZ = WY / Height
Substitute the given values:
8 / 48 = 24 / Height
Simplify the proportion:
1 / 6 = 24 / Height
Cross multiply:
24 = Height x 1
Height = 24
Therefore, the height from the ground to the base of the window is 24 units.
A ladder, X V, is placed at the bottom end of a window on a wall. The height of the wall until the bottom end of the window is V Z. The distance between the lower end of the ladder, and the wall is X Z.
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
A painter needs to measure the height from the ground to the base of a 2nd story window. He props his ladder against the base of the window. He finds the height from one rung of the ladder to the point on the ground below it, and the distance from that point to the base of the ladder. This is shown in the figure.
If XY = 8 inches, WY = 24 inches, and XZ = 48 inches, the height from the ground to the base of the window is ____ units
1 answer