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Maru [420]
4 years ago
9

Suppose you are standing on the edge of a canyon that is 400 meters high, where two sides of the canyon are at the same height a

nd the walls of the canyon are perfectly vertical. The angle of depression to the bottom of the other side of the canyon is 14.3 degrees. Find the distance to the other side of the canyon. Ignore the height in the computations.
Mathematics
1 answer:
pogonyaev4 years ago
7 0
Set up a right triangle. the height is one side of triangle, its length is 400.
The angle opposite to the 400 is 14.3 degrees. The adjacent side is distance across, "x"

Use tangent ratio
tan(14.3) = \frac{400}{x}

x  = \frac{400}{tan (14.3)}
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natima [27]

Answer:

Kindly check explanation

Step-by-step explanation:

The prevalence per 1000 among the exposed :

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Prevalence per 1000 among the exposed :

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Prevalence per 1000 among the non exposed :

((90 - 60) + (268 - 238)) / 3000

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7 0
3 years ago
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zysi [14]
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substitution

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4 0
4 years ago
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3 out of every 5 picks are orange. If 12 picks are orange, how many picks are there in all?
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patriot [66]
Okay so this won't be the easiest for me to explain by typing but i'll do my best

this is a geometry question. a couple important things to know are as follows:

1) all of the quadrants should add up to ninety because two of the lines crossing eachother have a 90 degree square.

2) every angle diagonal from another one are the same. so if two lines cross in an X shape, the top angle and the bottom angle are equal and the two side angles are equal.

so now we're ready to start.

let's start with angle N. it will be easiest.

using the rule of the diagonals, you'll notice that N is diagonal to the 90° square therefore it too is 90°

N = 90
°

next, angle M. using the diagonal rule, the angle across from the 15° is going to also be 15°, that means that that quadrant has an angle of 40° and 15°. now recall that all the quadrants must add up to 90°. so from this we can make a simple equation:

40° angle + 15° angle + M angle = 90°

now solve for M angle

40 + 15 + M = 90    55 + M = 90    M = 35°

so N = 90° and M = 35°
6 0
3 years ago
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