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2 years ago

6

A triangular prism. The triangular base has a base of 7. 8 centimeters and height of 4 centimeters. The prism has a height of 9

centimeters. What is the volume of the prism? ft3.

1 answer:

Nadya [2.5K]2 years ago

3 0

140.4 hope its helps!!! :)))

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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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