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.
-Work backwards
-Look at theorems related to the figure
-Mark the figure to reflect the given statements
Triangle ABC is a right triangle, meaning we can use the Pythagorean Theorem to find x.
The formula for the Pythagorean Theorem is:
where a is the hypotenuse, and b and c are the legs.
In this problem, we have the vertical leg as 16, the horizontal leg as x, and the hypotenuse as 20. Therefore, we can say that
Therefore, we can plug into the formula to find x:
We first change the variable c to x and square both sides of the equation. Then we subtract b^2 from both sides.
We square root each side to find the variable answer for x. Then we plug in the numbers:
We find that x = 12. The answer is A. 12.
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They stop the flow of thinking when you are doing the work online , because they have different types of products which may actual disrupt what you are doing when you find yourself opening up the pop up advertisement.