A property of triangles<span> that states that if the side lengths of a </span>triangle<span> are fixed, the </span>triangle can have only one shape.The triangle is the strongest shape due to the rigidity of its sides, which allows them to transfer force more evenly through their sides than other shapes.<span> Triangles are used extensively in the construction of buildings and bridges.</span><span> triangle cannot be deformed without changing its joints</span>
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:
3 ft
Step-by-step explanation:
It is because 3 times 18 is 54 and 3 is 15 less than 18
Answer:
Pizza parlor's profit = $515.344
Step-by-step explanation:
Given that:
Linear regression line for pizza parlor's profit
y = 2.009x - 37.131
x represents the number of pizzas sold
y represent the profit in dollars
Profit for 275 pizzas
Putting x = 275 in given equation
y = 2.009(275) - 37.131
y = 552.475 - 37.131
y = 515.344
Hence,
Pizza parlor's profit = $515.344