1. You are skiing down a mountain with a vertical height of 850 feet. The distance from the top of the mountain to the base is 1700 feet. What is the angle of elevation from the base to the top of the mountain? 2. A payroll clerk addresses five paychecks and envelopes to five different people and randomly inserts the paychecks into the envelopes. Find the probability of each event. a. Exactly two paychecks are inserted in the correct envelopes b. At least two paychecks are inserted in the correct envelopes. 3. Find the standard form of the equation of the ellipse with the given characteristics and center at the origin. Vertices: (4, 0); passes through the point (2, 1) 4. Find a formula for the nth term of the arithmetic sequence. a1 = 100, d = 2 5. Consider the following geometric sequence. a7: a1 = 8, a2 = 24, a3 = 72, Find the common ratio Find a formula for the nth term of the geometric sequence. Find a7