Question

A pole vault stick is leaning against a wall, touching the wall 16 ft above the ground. The bottom end of the stick is 12 ft from the wall. How many feet long is the stick?

Answer 1

Answer:

20ft

Step-by-step explanation:

Height from the ground=16ft

distance from wall= 12ft

length of the stick=?

According to the Pythagoras theorem the square of the hypotenuse is equal to the sum of the squares of the opposite sides.

Here the stick is the hypotenuse.

$12^{2} +16^{2} = x^{2}$

144+ 256= $x^{2}$

$x^{2}$= 400

$x=\sqrt{400} \\x= 20$

Hence the length of the stick is 20ft.

Hope this helps.