Problema Solution
Help please!!!
Part 1: From a 220 feet high lighthouse in the Bahamas island of Nassau, a person sees a ship on the horizon. Due to the curvature of earth, how far is the ship from the lighthouse?
Use the formula: d = sqrt[3h/2], where d is the distance in nautical miles and h is the height in feet.
Provide a similar example of when you were close to the beach, or elsewhere. Estimate how high above sea level you are and find how far the ship is from you.
Part 2: An application of a rational function is T = (AB)/(A+B), which gives the time, T, it takes for two workers to complete a particular task where A & B represent the time it would take for each individual worker to complete the identical task working alone. It takes William 3 hours longer than Timothy to paint a 4x 5 feet bedroom. Respond to the following:
Working together, both can complete the job in 2 hours. How long does it take each one to complete the painting job working alone?
Answer provided by our tutors
Part 1: The distance is 18.165 nautical miles from the lighthouse
d = d = d =
d = 18.165 nautical miles
Part 2:
T = (AB)/(A+B)
2 = (A(A+3))/(A + A+3)
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2 = (A^2+3A)/(2A+3)
A^2 + 3A = 4A+6
A^2 -A -6 = 0
(A-3)(A+2) = 0
Usable solution:
A = 3 hrs (Timothy's time to do the job)
A+3 = 6 hrs (William's time to do the job)