1. An airplane traveling at 300 mph is descending at an angle of depression of 5. How many miles will the plane descend in 6 minutes? (Round your answer to one decimal place.)

2. For the best illumination of a piece of art, a lighting specialist for an art gallery recommends that a ceiling-mounted light be 6 feet from the piece of art and that the angle of depression of the light be 37. How far from a wall should the light be placed so that the recommendations of the specialist are met? Notice, in the following figure, that the art extends outward 4 inches from the wall. (Round your answer to one decimal place.)

3. The angle (in radians from the vertical) of the metal rod of a pendulum t seconds after it is released from a position of

= 1/5 radian is given by

(t) = 1/5 cos 4t. Positive values of indicate the pendulum is to the right of the equilibrium position; negative values of indicate the pendulum is to the left of the equilibrium position. Find the angle of the rod from the vertical 3.9 seconds after it is released. Round to the nearest hundredth. (Note: This is an idealized pendulum where we assume there is no loss of energy due to friction and the angle of oscillation is small.)

=

4. Let be an acute angle of a right triangle for which cos = 2/5 Find sec

sec =

5. Let be an acute angle of a right triangle for which sin = 4/5 Find cos .

cos =

6. Find the exact value of the expression. sin = 1/3 and cos > 0; find tan .

=