Tom owns a condominium in a high rise building on the shore of Lake Michigan, and has a beautiful view of the lake from his window. He discovered that he can find the number of miles to the horizon by multiplying 1.224 by the square root of his eye level in feet from the ground.

Use Tom’s discovery to do the following.(a) Write a formula that could be used to calculate the distance d in miles to the horizon from a height h in feet from the ground.(b) Tom lives on the 14^th floor, which is 150 ft above the ground. His eyes are 6 ft above his floor. Use the formula from part (a) to calculate the distance, to the nearest tenth of a mile, that Tom can see to the horizon from his condominium window.