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