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:
x> 30
Step-by-step explanation:
+ First, is the inequation 3x - 52 > 28.
+ If Yes, so we can solve:
3x - 52 > 28
3x - 52 + 52 > 28 +52
3x > 90
3x/3 > 90/3 (divide both sides by 3>0)
x > 30
Answer: -1
Step-by-step explanation: A typical quadratic equation is
and the maximum value formula is -b/2a, so let plug it in -4/2(-4) which equals 1/2. Then let plug 1/2 into the equation,
-4(1/2)^2+4(1/2)-2=
-1+2-2=
-1