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3 years ago

Find the measures of two angles, one positive and one negative, that are coterminal with pi divided by seven.

Mathematics

1 answer:

kotegsom [21]3 years ago

3 0

Check the picture below.

you simply come "clockwise" to get the negative angle.

and to get the positive angle, simply go around 2π and then add π/7 to it.

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3 years ago

You are standing 6 feet away from the stage and your friend is standing 7 feet away from the stage. You are standing on a platfo

coldgirl [10]

Answer:

The distance from your eyes to the stage is 8.85 ft

Step-by-step explanation:

Your distance to the stage is 6 feet

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You need to find the distance of your eyes towards the stage.

This situation can be modeled using a rectangle triangle, where the adjacent side x is the horizontal distance to the stage and the opposite side h is the vertical distance of your eyes to the stage.

Observe the attached image.

Then, we look for the distance z from your eyes to the stage. This distance is the hypotenuse of the right triangle.

So, using the Pythagorean theorem we have:

$z ^ 2 = h ^ 2 + x ^ 2\\\\z = \sqrt{h^2 +x^2}$

Where

$h = 6.5\ ft\\\\x = 6\ ft$

therefore:

$z = \sqrt{(6.5)^2 +(6)^2}\\\\z =8.85\ ft$

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3 years ago