Question 524816
{{{drawing( 500, 500, -10, 10, -10, 10,
triangle( 0, 0, 10,0, 0, 10 ), 
locate( 0.5, 0, A ), 
locate( 0, 6, "Height?" ), 
locate( 2.5, 0, 15feet ),
locate( 9.5, 0, B ), 
locate( -0.5, 10, C),locate( 5, 6, 20feet))}}}


Given
Hypotenuse= 20feet
Perpendicular = Height
Base=15feet


Use Pythagoras' Theorem
(Hypotenuse)^2=(Perpendicular)^2+(Base)^2
(20)^2=(Height)^2+(15)^2
400=(Height)^2+225
400-255=(Height)^2
175=(Height)^2
(Height)^2 = 175
Take square root
sqrt(Height)^2 = sqrt(175)
Height=13.228
Height=13.23 feet