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otez555 [7]
2 years ago
5

Question 1

Mathematics
1 answer:
Scrat [10]2 years ago
6 0

Answer:

17.11 meters

Step-by-step explanation:

You are using trigonometry in this problem.

The height of the flagpole represents the side <u><em>opposite</em></u> the given angle.

The base of the triangle is given as 19 meters and represents the side <u><em>adjacent</em></u> to the given angle.

Out of the main trigonomentric functions (sine, cosine, and tangent), only tangent uses both the opposite and adjacent sides.

Tan(angle) = opposite / adjacent

If we plug in what we know into that equation: <em>tan(42 degrees) = h / 19</em>

This means that <em>your answer = 19 * tan(42) = 17.11</em> meters

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Geometry Question: Image is provided below.
erik [133]
We know that the angle above 10x + 54 must be 8x because of Alternate angles. And we also know that angles in a straight line add up to 180. So we can infer that 10x + 54 + 8x = 180
We can simplify that into 18x + 54 = 180
Now we take away 54 from both sides to get 18x = 126
Now divide both sides by 18 and we get
x = 7.
Now that we know that x = 7 we know that the 10x + 54 angle is equal to 124 by substituting the value of x in. We also know that 11y + 14 must equal to 124 because of vertically opposite angles. So we have 11y + 14 = 124.

Take away 14 from both sides; 11y = 110
Now divide both sides by 11 and we get
y = 10

So x = 7 and y = 10
I hope that you understood all of my steps and if this did help you a Brainliest would be very appreciated :)
3 0
3 years ago
Read 2 more answers
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