A 10ft ladder is leaning against a wall. If the base of the laddier is 3 feet from the wall, how high up does the ladder reach?
The 10ft ladder is the hypoteneuse of a right triangle, so use the Pythagorean theorem
a^2 + b^2 = c^2
3^2 + b^2 = 10^2
9 + b^2 = 100
b^2 = 91
b = 9.54 ft high
Will use Pythagoras theorem:
10^2=3^2 + H^2, H=the height of the wall
100=9 + H^2
H^2=100-9=91 take the square root of both sides
H=sqrt(91)
H=9.54 feet that the ladder reaches up the wall.
