This will make shape of a right angled triangle, where
Length of ladder = 13 ft = Hypotenuse
distance of ladder from foot of the tree = 5 ft = Base
find height upto which the ladder will reach = ? = Altitude
By Pythagoras Theorem,
Hypotenuse square = Base square + Altitude Square
13 Square = 5 Square + altitude square
169 = 25 + altitude square
Subtract 25 from both sides and we get;
144 = altitude square
Take square-root of both sides and we get;
12 = Altitude
Hope this will help you |