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Answer:
The plane's distance from the radar station will increase about 8 miles per minute when it is 5 miles away from it.
Step-by-step explanation:
When the plane passes over the radar station, the current distance is the altitude h = 2. Then it moves b horizontally so that the distance to the station is 5. We can form a rectangle triangle using b, h and the hypotenuse 5. Therefore, b should satisfy
h²+b² = 5², since h = 2, h² = 4, as a result
b² = 25-4 = 21, thus
b = √21.
Since it moved √21 mi, then the time passed is √21/540 = 0.008466 hours, which is 0.51 minutes. Note that in 1 minute, the plane makes 540/60 = 9 miles.
The distance between the plane and the radar station after x minutes from the moment that the plane passes over it is given by the function
We have to compute the derivate of f in x = 0.51. The derivate of f is given by
also,
The plane's distance from the station will increase about 8 miles per minute.
Answer:
a) See figure attached
b)
c)
So then the heigth for the building is approximately 30 ft
Step-by-step explanation:
Part a
We can see the figure attached is a illustration for the problem on this case.
Part b
For this case we can use the sin law to find the value of r first like this:
Then we can use the same law in order to find the valueof x liek this:
And that represent the distance between Sara and Paul.
Part c
For this cas we are interested on the height h on the figure attached. We can use the sine indentity in order to find it.
And if we solve for h we got:
So then the heigth for the building is approximately 30 ft