A tree casts a shadow that is 20 feet in length. if the angle of elevation is 32 degrees, which of the following best represents
the height of the tree?
A. 10.5 FT
B. 9.5 FT
C. 11.5 FT
D. 12.5 FT
A. 10.5 FT
B. 9.5 FT
C. 11.5 FT
D. 12.5 FT
2 answers:
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Answer:
1) The slope of the function is
and the slope of the function
is
.
2) The negative slope of the function shows that it is the line is increasing and the slope
of the function
shows that the line will always have the same y-coordinate.
3) The slope of the function is is greater than the slope of the function
.
Step-by-step explanation:
For this exercise you need to know that the slope of any horizontal line is zero ()
The slope of a line can be found with the following formula:
You can observe in the graph of the function given in the exercise, that this is an horizontal line. Then, you can conclude that its slope is:
The steps to find the slope of the function shown in the table attached, are the following:
- Choose two points, from the table:
and
- You can say that:
- Substitute values into the formula :
- Finally, evaluating, you get:
Therefore:
1) The slope of the function is
and the slope of the function
is
.
2) The negative slope of the function shows that it is the line is increasing and the slope
of the function
shows that the line will always have the same y-coordinate.
3) The slope of the function is is greater than the slope of the function
.