We're looking for a scalar function
such that
. That is,


Integrate the first equation with respect to
:

Differentiate with respect to
:

Integrate with respect to
:

So
is indeed conservative with the scalar potential function

where
is an arbitrary constant.
Please find the attached diagram for a better understanding of the question.
As we can see from the diagram,
RQ = 21 feet = height of the hill
PQ = 57 feet = Distance between you and the base of the hill
SR= h=height of the statue
=Angle subtended by the statue to where you are standing.
= which is unknown.
Let us begin solving now. The first step is to find the angle
which can be found by using the following trigonometric ratio in
:

Which gives
to be:

Now, we know that
and
can be added to give us the complete angle
in the right triangle
.
We can again use the tan trigonometric ratio in
to solve for the height of the statue, h.
This can be done as:





Thus, the height of the statue is approximately, 8.45 feet.
Answer:
15
Step-by-step explanation:
Add the total of miles Marisa is going to drive; 200 + 220 = 420
Next, divide the total miles by the average miles Marisa can travel on one gallon of gas; 420 / 28 = 15
(Hope this helps!)
Answer:
23/7 or 3 2/7
Step-by-step explanation:
it might be the mixed number
Answer:3/14
Step-by-step explanation:
The probability that it is a blue marble is 3 out of total marbles of 14