A 10 ft. bamboo ladder is placed against the wall with its base 3 ft. from the wall. Find the vertical distance of the top of the bamboo ladder to the ground.
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A 10 ft. bamboo ladder is placed against the wall with its base 3 ft. from the wall. Find the vertical distance of the top of the bamboo ladder to the ground.
Let the vertical distance of the top of the bamboo ladder to the ground be
ft, then as shown in the attached image, the ladder, the wall and the distance of the wall from the ladder makes a right triangle with legs 3 ft and 
ft and hypotenuse of 10 ft.
Using the Pythagoras theorem,
.
Taking the square root of both sides gives
ft.
Therefore, the vertical distance of the bamboo ladder is about 9.54 ft.