What is the difference between a linear function and a nonlinear function? Explain what each looks like when represented as a ta
2 answers:
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Answer:
8 meters
Step-by-step explanation:
First, we can draw this out. The angle of depression represents the angle above the line from the bird and the apple, as shown. A line can be drawn from the bird to the apple as well as from the apple's height to the bird's height. A third line can be drawn connecting the line that goes straight up from the apple to the bird, forming a right triangle. We know that this is a right triangle because the purely vertical line from the apple's height to the bird's height is perpendicular to the horizontal line from the bird to the line right above the apple.
Next, we know that we are given an angle and the side adjacent to it. We want to find the length of the side opposite to the angle because that will give us the height from the bird to the apple, and adding that to the height from the apple to the ground will give us the height of the tree. In sohcahtoa, one equation that symbolizes this is tan x = opposite/adjacent, so
tan(55°) = opposite/adjacent
= opposite/4.5
multiply both sides by 4.5 to isolate opposite
tan(55°) * 4.5 = opposite
≈ 6.43
Adding this to the height of 1.5 meters from the apple to the ground, we get the height of the tree to be approximately 7.93, rounding up to 8 meters
Answer:
The slope of the line is 5.
The point slope form of the line is y=5x+6.
Step-by-step explanation:
We can find the slope using this formula:
5
The slope of the line is 5.
To find point slope form, we use the equation y=mx+b where m is the slope and b is the y-intercept.
The y-intercept of this slope is 6 and the slope is 5 so we get, y=5x+6