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3 years ago

9

2 answers and I will vote one brainliest! Please help!

1 answer:

kondor19780726 [428]3 years ago

6 0

Answer:

x = 36 degrees

Step-by-step explanation:

Every Triangle adds up to 180 degrees so in order to solve this we must add together the two angle we know which is

97 + 47 = 144

Then we take this number and we subtract is from 180 to find the third angle

180 - 144 = 36

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jeka57 [31]

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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.

SVEN [57.7K]

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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4 years ago