Question

The base of a tree that was 50 ft. tall stood 32 ft. from a building. A
strong wind uprooted the tree, which then struck the building at a
distance of x units from the ground.
ELE
HULU
Use the tiles to create an equation that can be used to find the value of
X.
32
2
50
2
+
X
Type here to search
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Answer 1

Answer:

$x^2 + 32^2 = 50^2$

x ≈ 38.42

Step-by-step explanation:

The shape formed by the uprooting is a right triangle with a hypotenuse of 50

and a base leg of 32. The other leg is x.

Let's use the pythagorean theorem: $a^2 + b^2 = c^2$

Where a and b are the legs, and c is the hypotenuse

$x^2 + 32^2 = 50^2$

We can solve for x:

$x^2 = 50^2 - 32^2\\\\x^2 = 2500 - 1024\\\\x = \sqrt{1476}\\\\x = 38.41874542...... \\\\Approx: x = 38.42$

x ≈ 38.42

-Chetan K