You can
put this solution on YOUR website!# 1
We basically have this triangle set up:
To find the unknown length, we need to use the Pythagorean Theorem.
Remember, the Pythagorean Theorem is
where "a" and "b" are the legs of a triangle and "c" is the hypotenuse.
Since the legs are
and
this means that
and
Also, since the hypotenuse is
, this means that
.
Start with the Pythagorean theorem.
Plug in
,
,
Square
to get
.
Square
to get
.
Subtract
from both sides.
Combine like terms.
Take the square root of both sides. Note: only the positive square root is considered (since a negative length doesn't make sense).
Use a calculator to evaluate the right side
So the height of the pole is approximately
16.0 yards (rounded to the nearest tenth)
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# 2
Start with the given equation
Plug in
Square 8 to get 64
Multiply
The object has fallen
1024 feet in 8 seconds.
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