Answer:
6 units long.
Step-by-step explanation:
Given:
A polygon drawn on a graph.
In order to determine the distance of the horizontal line at the top, we find the coordinates of the end points and then use distance formula to find the exact distance.
Let us label the polygon as ABCD as shown below. AB is the length of the horizontal line.
Coordinates of A are
as seen in the graph.
Coordinates of B are
as seen in the graph.
Now, distance formula for two points
is:

Therefore, the horizontal line at the top is 6 units long.
Explanation:
Draw a dot 2 units above each dot shown on the graph. Connect the dots in the same way they are connected here.
f(x)+2 simply translates the curve up 2 units.
First isolate
by subtracting 1 from both sides of the equation.
That gives you
.
From here, since x is being divided by 2, multiply both sides of the equation by 2.
So <em>x = 10</em>.
Work is attached in the image below.
Tangent (40) = tree height / 30 feet
tree height = tangent (40) * 30 feet
tree height = 0.8391 * 30
tree height = 25.173 feet