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coldgirl [10]
3 years ago
6

My dog, Stella, is playing in the park and sees a tree 100m away. Since she is the dog of a mathematics teacher, she knows how t

o calculate the angle of elevation to the top of the tree and finds it to be about 25 degrees. About how tall is the tree?
Mathematics
1 answer:
Serjik [45]3 years ago
5 0

Answer:

10 meters

Step-by-step explanation:

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What is the linear function equation represented by the graph?
victus00 [196]

The linear function equation is \boxed{y = \frac{1}{3}x - 4}.

Further explanation:

The formula for slope of line can be expressed as,

\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}

Explanation:

The line intersect \text{y}-axis at \left( {0,- 4} \right).

Therefore, the \text{y}-intercept is -4.

The line passes through the points \left( {0,- 4} \right) and \left( {3,- 3} \right).

The slope can be obtained as follows,

\begin{aligned}m &= \frac{{- 3 - \left( { - 4} \right)}}{{3 - 0}}\\&= \frac{{ - 3 + 4}}{3}\\&= \frac{1}{3}\\\end{aligned}

The slope of the line is \dfrac{1}{3}.

The slope intercept form of the linear equation is given as follows.

\boxed{y = mx + k}

Substitute \dfrac{1}{3} for m and -4 for k in equation y = mx + k.

y = \dfrac{1}{3}x - 4

The linear function equation is \boxed{y = \frac{1}{3}x - 4}.

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: graph function, numbers, slope, slope intercept, equation, linear function, linear equation, y-intercept, graph, representation, origin.

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