Answer:
6,000
Step-by-step explanation:
(x-5)(x+8) is your answer!
The strategy<span>Model the situation as a right triangle.
Determine the appropriate trigonometric ratio in order to find the missing angle.
Form an equation and solve for the missing angle.Calculate the final result and round.
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Modeling as a right triangleThis situation can be modeled by the following right triangle. The hypotenuse is 100 meters and the height is 42 meters. <span>We are asked to find the angle of elevation, which is the angle on the left.
</span>Determining the appropriate trigonometric ratio
We are given the side opposite to the missing angle and the hypotenuse <span>The appropriate trigonometric ratio is therefore the SINE.
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Forming an equation and solving</span>
Denoting the missing angle by θ, we obtain the equation

<span>
</span>Solving the equation, we get

Evaluating this result in the calculator and rounding to the nearest tenth, we get θ =

degrees.
We know that formula for circumference is 2πr
Since we have circumference of 2π, that would means 2π = 2πr.
We need to solve for r. We can divide both sides by 2π:
2π / 2π = 2πr / 2π
1 = r
So radius is 1.
Now the formula for area of circle is πr². So plug in r=1 and that would be
π(1)²
π
So area of circle is π.
Hope this helps.