From a parking lot, you want to walk to a house on the beach. The house is located 1500 feet down a paved path that parallels the ocean, which is 500 feet away. See the illustration. Along the path you can walk 300 feet per minute, but in the sand on the beach you can only walk 100 feet per minute. The time T to get from the parking lot to the beach house can be expressed as a function of the angle shown in the illustration and is

Calculate the time T if you walk directly from the parking lot to the house.

Transcribed Image Text:

5 5 T(0) = 5 – 3 tan 0 0 <0 < - 2 sin 0' 500 tan 0 1500