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3 years ago

In ΔNOP, the measure of ∠P=90°, the measure of ∠O=17°, and OP = 8.6 feet. Find the length of PN to the nearest tenth of a foot.

Mathematics

1 answer:

SVEN [57.7K]3 years ago

7 0

The length of PN is 2.63 feet

<u>Explanation:</u>

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Given:

∠P=90°,

∠O=17°,

OP = 8.6 feet

PN = ?

The given triangle is a right angle triangle as one angle is 90°

We know:

$tan \alpha = \frac{perpendicular}{base}$

$tan(17^o) = \frac{PN}{OP} \\\\0.3057 = \frac{PN}{8.6} \\\\PN = 0.3057 X 8.6 feet\\\\PN = 2.63 feet$

Therefore, the length of PN is 2.63 feet

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1 year ago

How many are 16 x 16 ?

timofeeve [1]

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Step-by-step explanation:

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3 years ago

4х + 3у = — 2<br> Зу = 4 -x<br> х =?<br> у =?

zlopas [31]

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3 0

3 years ago

Read 2 more answers

Suppose that a researcher is designing a survey to estimate the proportion of adults in your state who oppose a proposed law tha

irinina [24]

Answer:

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Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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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The margin of error desired for this case is $ME= \pm 0.02$ equivalent to 2% points

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3 years ago

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3 years ago