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3 years ago

What is a supplementary angle?

Mathematics

2 answers:

o-na [289]3 years ago

8 0

Supplementary angles are angles that usually share a common side, but they don't have to. If you joined them together, they would measure a straight angle and together they form a straight angle which measures 180°. If the sum of the measures of two angles is 180°, then the angles are classified as supplementary angles.

An example of a supplementary angle is provided in the image attached.

Lelu [443]3 years ago

5 0

Either of two angles whose sum is 180 degrees

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In ΔNOP, the measure of ∠P=90°, the measure of ∠N=59°, and PN = 7.4 feet. Find the length of OP to the nearest tenth of a foot.

lina2011 [118]

Answer:

12.3 feet.

Step-by-step explanation:

As we are given that $\triangle NOP$ is an right angled triangle.

$\angle P = 90 ^\circ \\\angle N = 59 ^\circ\\Side\ PN = 7.4 \text{ feet}$

And we have to find out the value of side OP to the nearest tenth of a foot by rounding off the value as seen in the attached figure as well.

By using Trigonometric functions in a right angled $\triangle$ , we know that:

$tan \theta = \frac{Perpendicular}{Base}$

Here, $\theta$ is $\angle N$ , Perpendicular is side OP and Base is side PN.

So, $tan 59^\circ = \frac{OP}{PN}$

$\Rightarrow OP = PN \times tan59^\circ$

Putting the values of PN and $tan59^\circ$ .

$OP = 1.66 \times 7.4\\\Rightarrow OP = 12.3 ft$

Hence, the value of OP is $12.3\ feet$ .

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