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Angelina_Jolie [31]
3 years ago
8

matt is standing on top of a cliff 305 feet above a lake. The measurement of the angle of depression to a boat on a lake is 42 d

egrees. how far is the boat from matt

Mathematics
1 answer:
Lyrx [107]3 years ago
3 0

Answer:

So, the distance from boat to matt is 455.81535feet

Step-by-step explanation:

We are given height of a cliff is 305 feet

and the measurement of the angle of depression to a boat on a lake is 42 degrees

so, we can draw diagram

Let's assume

distance from boat to matt is x

We can use trig

sin(42)=\frac{305}{x}

now, we can solve for x

x=\frac{305}{sin(42)}

x=455.81535feet

So, the distance from boat to matt is 455.81535feet

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

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2) Part a

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

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And the best way to solve this problem is using the normal standard distribution and the z score given by:

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If we apply this formula to our probability we got this:

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P(\bar X >66)=P(Z>\frac{66-64}{\frac{2}{\sqrt{4}}}=2)

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P(Z>2)=1-P(Z

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