Answer:
Arithmetic sequence.
Step-by-step explanation:
We have been given a sequence : -2, 0, 2, 4, 6. We are asked to define the type of our given sequence.
We can see from our given sequence that each next term is 2 more than the previous term of the sequence.
Since the difference between the consecutive terms is constant and each next term is produced by adding 2 to preceding term, therefore, our given sequence is an arithmetic sequence.
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 x to be:
Now, we know that and
will get 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.
