Help with practice problem
1 answer:
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Answer: 128.67 feet
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Tan α = opposite side / adjacent side
Where α is the angle of depression from the top of Nisha's window to the bottom of the sculpture ,the opposite side is the height Nisha's window from the ground (60), and the adjacent side is the distance between the building and the sculpture (x).
Replacing with the values given:
Tan 25 = 60/x
Solving for x
x =60 / tan 25
x = 128.67 feet.
Feel free to ask for more if needed or if you did not understand something.
So the rate of change can be found in different places.
For the first one:
This equation is in slope-intercept form, or y = mx + b.
m would be the slope/rate of change, and b the y intercept. (x and y would just be any sets of ordered pairs that fit into the equation.)
So if you look at which number is in the m spot, or the rate of change spot, you see that 5 is the rate of change.
For the second one: The formula for slope is:
m =
So just put in any ordered pairs in. I'm just going to put in the ordered pairs, (6, 30) and (4, 22).
Or,
m = (30 - 22) / (6 - 4)
Or,
m = 8/2
Or 4.
For the third one:
You can use the same formula as I stated above.
So you have to look for two ordered pairs here, two points.
So you can estimate that two of the points are: (0, 3) and (-2, -9).
So then just solve for that.
(-9 - 3) / (-2 - 0) = -12 / -2 = 6
For the last one:
Again, use the same equation.
m = (7 - 1) / (-1 - (-3))
m = 6/2
m = 3
So the one with the greatest rate of change would be C.
For the first one:
This equation is in slope-intercept form, or y = mx + b.
m would be the slope/rate of change, and b the y intercept. (x and y would just be any sets of ordered pairs that fit into the equation.)
So if you look at which number is in the m spot, or the rate of change spot, you see that 5 is the rate of change.
For the second one: The formula for slope is:
m =
So just put in any ordered pairs in. I'm just going to put in the ordered pairs, (6, 30) and (4, 22).
Or,
m = (30 - 22) / (6 - 4)
Or,
m = 8/2
Or 4.
For the third one:
You can use the same formula as I stated above.
So you have to look for two ordered pairs here, two points.
So you can estimate that two of the points are: (0, 3) and (-2, -9).
So then just solve for that.
(-9 - 3) / (-2 - 0) = -12 / -2 = 6
For the last one:
Again, use the same equation.
m = (7 - 1) / (-1 - (-3))
m = 6/2
m = 3
So the one with the greatest rate of change would be C.