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A 12-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 10 feet from the base of the building. How high up the wall does the
ladder reach?
The ladder reaches feet up the wall. (Round to the nearest hundredth.)

Respuesta :

Answer:

The ladder reaches a height of 6.63 ft up the wall.

Step-by-step explanation:

This problem can be solved using the Pythagorean theorem.

the 12 foot ladder would be the hypotenuse in this case while the distance of the ladder from the building is the length of a side

so, we can write it as:

a^2 + 10^2 = 12^2

and solve

a^2 + 100 = 144

144 - 100 = a^2

44 = a^2

a = sqrt 44

a = 6.63 ft