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otez555 [7]
3 years ago
5

Question 1

Mathematics
1 answer:
Scrat [10]3 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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What is the slope-intercept equation of the line below? 61 -5
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▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

The Correct option is ~ B

\boxed{ \boxed{y = 2x - 3}}

\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}

Let's find the slope (m) using points (2 , 1) and (0 , -3)

  • \mathrm{ \dfrac{y2 - y1}{x2 - x1} }

  • \dfrac{1 - ( - 3)}{2 - 0}

  • \dfrac{4}{2}

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hence, slope = 2

now, by Observing the given graph we can infer that the given line cuts the y - axis at point (0 , -3), so value of y - intercept (c) = - 3

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