Answer: 360 degrees
Step-by-step explanation:
You are given a convex polygon that has 7 sides and one angle at each vertex.
The sum of the measure of external angle of a polygon Inrespective of the number of sides of the polygon will always be equal to 360 degree.
Therefore, the sum of the measure of its exterior angles is 360 degrees
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.
Most of the square numbers are even.so if we need to find root over we need an even number to convert it to perfect square.
See the example below






Some other triplets are
- (6,8,10)
- (5,12,13)
- (8,15,17)