Problem
The tide in Bay of Fundy rises and falls every 13 hours. The depth of the water at a certain point in the bay is modeled by a function d = 5 sin (2π/13)t + 9, where t is time in hours and d is depth in meters. Find the depth at t = 13/4 (high tide) and t = 39/4 (low tide).
The depth of the high tide is 15 meters and the depth of the low tide is 3 meters.
The depth of the high tide is 16 meters and the depth of the low tide is 2 meters.
The depth of the high tide is 14 meters and the depth of the low tide is 4 meters.
The depth of the high tide is 17 meters and the depth of the low tide is 1 meter.
A gutter whose cross-section is trapezoidal is to be made of galvanized iron sheet of 24 m wide. If its carrying capacity is maximum, find the dimension of the base.
A. 4 m
B. 6 m
C. 8 m
D. 10 m