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.

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> 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.      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = distance up the wall in feet
+26%5E2+=+10%5E2+%2B+c%5E2+
+c%5E2+=+676+-+100+
+c%5E2+=+576+
+c+=+24+
The answer is B.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
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?
here you have right triangle where extension ladder represents hypotenuse, base and a vertical wall height represent legs
use Pythagoras theorem:
hight%5E2=26%5E2-10%5E2
hight%5E2=676-100
hight%5E2=576
hight=sqrt%28576%29
hight=24
-> extension ladder reach hight of 24 ft up a vertical wall
so, answer is: B. 24 feet