80. A video camera is focused on a rocket on a launching pad 2 miles from the camera. The angle of elevation from the ground to the rocket increases every second, x, by 120x write AND Graph the function expressing the altitude h(x), in miles, of the rocket above the ground after x seconds and report the height of the rocket after 30 seconds. a) h x) 2 tan ),2mi c) h(x)-120 tan (2x), h(30) : 15m . mi b) hCr) - tan 20)m d) h(x)-tan(2mx), h(30) _0mi 120 9. Standing on the shore of a lake, a fisherman sights a boat far in the distance to his left. Let x, measured in radians, be the angle formed by the line of sight to the ship and a line due north from his position. Assume due north is 0 and x is measured negative to the left and positive to the right. The boat travels from due wes to due east then turns due north such that, ignoring the curvature of the Earth, the distance dx), in kilometers, from the fisherman standing on the shore to the boat cruising on the lake is given by the function d(x) = 1.5 sec x. First, draw the graph of this function. Second, answer the following questions. what is the minimum distance between the fisherman and the boat? When does this occur? ) 3 km, x=-rad b) 1.5 km, x 1 rad c) 1.5 km, x O rad 1 km, x 0 rad 80. A video amera is focused on a rocket on a launching pad 2 miles from the camera The angle ofaleuotion