Answer:
Therefore the Final Solution is
x = 2 and y = 4
( 2 , 4 )
Step-by-step explanation:
Given:
...............Equation ( 1 )
................Equation ( 2 )
To Find:
x = ?
y = ?
Solution:
Substitute Equation ( 1 ) in Equation ( 2 ) we get
Now Substituting x = 2 in Equation ( 1 ) we get
Therefore the Final Solution is
x = 2 and y = 4
( 2 , 4 )
Answer:
The rate at which the distance from the plane to the station is increasing is 331 miles per hour.
Step-by-step explanation:
We can find the rate at which the distance from the plane to the station is increasing by imaging the formation of a right triangle with the following dimensions:
a: is one side of the triangle = altitude of the plane = 3 miles
b: is the other side of the triangle = the distance traveled by the plane when it is 4 miles away from the station and an altitude of 3 miles
h: is the hypotenuse of the triangle = distance between the plane and the station = 4 miles
First, we need to find b:
(1)
Now, to find the rate we need to find the derivative of equation (1) with respect to time:
Since "da/dt" is constant (the altitude of the plane does not change with time), we have:
And knowing that the plane is moving at a speed of 500 mi/h (db/dt):
Therefore, the rate at which the distance from the plane to the station is increasing is 331 miles per hour.
I hope it helps you!