Answer:
Choice C: (x-2)^2 + (y-1)^2 = 25
“Three decimal places” is the same as “the nearest thousandth.” So, for example, if you are asked to round 3.264 to two decimal places it means the same as if your are asked to round 3.264 to the nearest hundredth. Some questions, like the example below, will ask you to “show your answer correct to two decimal places."
To answer this question, you can use the values of the unit circle to figure out the angle measurement. Since the cosine is the x value of the circle, we can see that at 45°<span>, the x value is √2/2.
So the missing angle should be 45°</span>
There is no ones place after the decimal so 3 is in the tenth place, so 2.4
For the answer to the question above, this is a right triangle problem using the tangent function.
<span>Tan(x) = Opposite (O) / Adjacent (A) </span>
<span>x = 40 degrees </span>
<span>A = 30 ft </span>
<span>Solve for O </span>
<span>O= Tan (x) * A </span>
<span>O = Tan (40) * 30 </span>
<span>Use your calculator or whatever method to get the tangent of 40 degrees (which is .84) </span>
<span>O = .84 * 30 </span>
<span>O = 25.2 Ft</span>