Answer:
x = 225.16 feet
Step-by-step explanation:
Given that,
The angle between the piling and the pier is 60°.
A surveyor has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake.
We need to find the distance between the piling and the pier. Let the distance be d. Using the trigonometry to find it as follows :

So, the required distance is 225.16 feet.
Answer:
the answer is d. What is the width of the box, in inches, that
produces the maximum volume?
Step-by-step explanation:
length: 120 - 6w >
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Formula:
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Area of triangle = 1/2 ab sin c
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Find area
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Area of triangle = 1/2 (13) (7.5) sin (94)
Area of triangle = 48.6 in² (nearest tenth)
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Answer: Area of triangle = 48.6 in²
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Domain: The set of all real numbers
We can plug in any x value we want and there aren't any restrictions. There aren't any holes, jumps, gaps, or asymptotes
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Range: Only one value is in the range and it is the value 2. We can write this as {2}. The curly brackets indicate "set". It is possible to have a set of only 1 item inside.
The range is the set of y value outputs. In this case, the output is 2 because we have a horizontal line. No matter what the x input is, the output is always 2. This is known as a constant function. The output is constantly the same.