Acarpenter wants to construct a simple cabin with a pitched roof. the inside height of this a-frame cabin next to the wall must be 8 feet high. the owner wants the inside height of the roof in the middle of the room (at the tallest point) to be 12 feet high. the owner wants the slope of the roof to be 1/3 (for every 3 ft you travel horizontally towards the middle of the roof, you go up 1 ft vertically) . how wide then must the cabin be?

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d.what is the height of the tide after 93 hours?