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Degger [83]
3 years ago
5

From the top of a 178-ft lighthouse, the angle of depression to a ship in the

Mathematics
2 answers:
arsen [322]3 years ago
6 0

9514 1404 393

Answer:

  335 ft

Step-by-step explanation:

The relationship between distances and the angle is ...

  Tan = Opposite/Adjacent

  tan(28°) = (lighthouse height)/(distance to ship)

  distance to ship = (178 ft)/tan(28°) ≈ 334.77 ft

The ship is about 335 ft from the base of the lighthouse.

liubo4ka [24]3 years ago
5 0

Answer:

it's uhh is the answer

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Answer:

The expression that shows how long the two machines will operate simultaneously is:

\frac{y(100x-z)}{x+y}

Step-by-step explanation:

We know that:

x: hours to manufacture a deck of cards for machine A

y: hours to manufacture a deck of cards for machine B

z: hours that machine A operates alone

The number of decks manufactured only by machine A is:

\frac{z}{x}

So, the remaining decks are given by:

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Then, the combined rate of machines A and B would be:

\frac{1}{x} +\frac{1}{y} =\frac{x+y}{xy}

The work-rate formula is:

Amount= Rate \times Time

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Time=\frac{Amount}{Rate}

Time=\frac{Amount}{Rate} =\frac{\frac{100x-z}{x} }{\frac{x+y}{xy} } ={\frac{100x-z}{x} \times \frac{xy}{x+y}=\frac{y(100x-z)}{x+y}

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Answer:

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