SOLUTION: An airplane is flying at a speed of 350 mi/h at an altitude of one mile. The plane passes directly above a radoar station at time t=0 a. Express the distance s (in miles) between

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Question 317265: An airplane is flying at a speed of 350 mi/h at an altitude of one mile. The plane passes directly above a radoar station at time t=0
a. Express the distance s (in miles) between the plane and the radar station as a function of the horizontal distance d (in miles) that the plane has flown.
b. Express d as a function of the t (in hours) that the plane has flown.
c. Use composition to express s as a function of t.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a) The horizontal distance (d), the one mile altitude, and s form a right triangle.
Use the Pythagorean theorem.
s%5E2=1%5E2%2Bd%5E2
s%5E2=d%5E2%2B1
highlight%28s=sqrt%28d%5E2%2B1%29%29
.
.
.
b) highlight%28d=350t%29
.
.
.
c) s%28t%29=sqrt%28%28350t%29%5E2%2B1%29
highlight%28s%28t%29=sqrt%28122500t%5E2%2B1%29%29