At a certain time of day, a tree that is x meters tall casts a shadow that is x − 21 meters long. If the distance from the top of the tree to the end of the shadow is x + 6 meters long, what is the height, x, of the tree?
+36919 Use Pythagorean Theorem (x+6)^2 = (x-21)^2 + x^2 Multiply this out and simplify to get
x^2 -54x +405 = 0
Then use quadratic formula to find x = 45
