A tree that is x meters tall casts a shadow that is x-35 meters long if the distance from the top of the tree to the end of the shadow is x+5 what is the height of the tree
Tree = x Shadow = x - 35 Distance from top of tree to end of shadow = x + 5 So x^2 + (x -35)^2 = (x + 5)^2 x^2 +(x^2 - 70x + 1225) = (x^2 + 10x + 25) Combine and collect like terms. x^2 - 80x + 1200 (x - 20)(x - 60) So either x = 20 or x = 60 As the shadow = (x - 20) I would discount x = 20 Tree height = 60ft Tree's shadow =25 Distance from top of tree to tip of shadow. = 65
