Assignment
Answer each of the following questions. You must provide detailed work illustrating how you arrived at your solution.
1). A guy wire runs from the ground to a cell tower. The wire is attached to the cell tower a = 120 feet above the ground. The angle formed between the wire and the ground is θ = 50°(see figure).
How long is the guy wire? Round your answer to two decimal places.
2). An airplane flying at an altitude of a is on a flight path that passes directly over an observer (see figure). What is the altitude of the plane if is the angle of elevation from the observer to the plane is 30°, and the straight line distance d from the observer to the plane is 1.3 miles.
3). The displacement from equilibrium of an oscillating weight suspended by a spring is given by y(t) = 2cos(6t), where y is the displacement (in centimeters) and t is the time(in seconds). Find the displacement when t= . Round your answer to two decimal places.
4). A company that produces snowboards, which are seasonal products, forecasts monthly sales over the next 2 years to be , where S is measured in thousands of units and t is the time in months, with t = 2 representing January 2011. Predict sales for June 2011. Round your answer to two decimal places.
5). An airplane is on a flight path that passes directly over an observer (see figure). If the distance d from the observer to the plane is 2 miles and the altitude is 1 mile. Determine the angle of elevation from the observer to the plane.