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kaya1523
04.02.2020 •
Mathematics
How long must a ladder be if it is to be leaned against a house at a point 9 ft above the ground resting 3 ft from the bottom edge of the wall?
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Ответ:
9.5 feet
Step-by-step explanation:
We have that,
Height of the point at the wall where the ladder is leaned = 9 feet
Horizontal distance between the ladder and wall = 3 feet.
So, we get the right triangle as shown in the figure.
Using 'Pythagoras Theorem', i.e.
, we get,
i.e.![x^{2}=81+9](/tpl/images/0499/0775/059da.png)
i.e.![x^{2}=90](/tpl/images/0499/0775/833a5.png)
i.e. x = 9.5 feet.
Thus, the length of the ladder must be 9.5 feet.
Ответ: