The functions f(x) and g(x) are defined below.
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To cover 5 miles the wheel covers 3771.42 (approx) turns.
Step-by-step explanation:
Given,
In 20 times turns wheel covers 140 feet.
1 mile = 5280 feet
To find the number of times wheels turns to cover 5 miles.
We will apply unitary method.
Now,
5 miles = 5×5280 feet = 26400 feet
140 feet covers in 20 turns
1 feet covers turns
26400 feet covers in ×26400 turns
= 3771.42 (approx) turns
First lets convert everything to feet, and feet/min
1/2 mile = 5280/2 = 2640 feet
90 mi/hr = (90)(5280)/(60) = 7920 ft/min
Next lets find total distance plane is away from runway.
Set up right triangle where total distance is hypotenuse.
Next we will use a little trig. Let theta be the angle of elevation from runway to the plane. The rate of descent is the vertical component of the planes speed. Find vertical component using sine.
Finally substitute ratio from right triangle for sin theta.
The rate of descent is about 598 feet per minute.
1/2 mile = 5280/2 = 2640 feet
90 mi/hr = (90)(5280)/(60) = 7920 ft/min
Next lets find total distance plane is away from runway.
Set up right triangle where total distance is hypotenuse.
Next we will use a little trig. Let theta be the angle of elevation from runway to the plane. The rate of descent is the vertical component of the planes speed. Find vertical component using sine.
Finally substitute ratio from right triangle for sin theta.
The rate of descent is about 598 feet per minute.