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A 12-foot ladder is leaning against a wall. The bottom of the ladder is 5 feet away from the bottom of the wall.



Approximately how high up the wall does the top of the ladder reach?



A

2.4 feet







B

7.0 feet







C

13.0 feet







D

10.9 feet

Verified Answer :

The answer is D.  10.9 feet

This is the right triangle and we can use the Pythagorean theorem.
The length of the ladder is actually the hypotenuse: c = 12 ft
The bottom of the ladder is: a = 5 ft
b = ?

c² = a² + b²
12² = 5² + b²
144 = 25 + b²
144 - 25 = b²
b² = 119
b = √119
b = 10.9 ft

Answer:

i took the test the wnwer is 10.9

Step-by-step explanation: