SOLUTION: How high up a vertical wall will a 26-foot-long extension ladder reach if its base is placed 10 feet away from the wall? A. 26 feet B. 24 feet C. 30 feet D.

Question 1136349: How high up a vertical wall will a 26-foot-long extension ladder reach if its base is placed 10 feet away from the wall?

A. 26 feet
B. 24 feet
C. 30 feet
D. 42 feet

Found 2 solutions by josmiceli, MathLover1:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = distance up the wall in feet

The answer is B.

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
How high up a vertical wall will a -foot-long extension ladder reach if its is placed feet away from the wall?
here you have right triangle where extension ladder represents hypotenuse, and a vertical wall height represent legs
use Pythagoras theorem:

-> extension ladder reach hight of ft up a vertical wall
so, answer is: B. feet

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