9514 1404 393
Answer:
24 ft
Step-by-step explanation:
Let x represent the height of the tree. The geometry can be represented by a right triangle with a base of 70 ft, a height of x ft, and a hypotenuse of 2+3x ft. The Pythagorean theorem tells us the relationship ...
x^2 +70^2 = (2+3x)^2
8x^2 +12x -4896 = 0 . . . .put in standard form
2x^2 +3x -1224 = 0 . . . . remove a common factor of 4
(2x +51)(x -24) = 0 . . . . . factor
The only positive solution is x = 24.
The height of the tree is 24 feet.
