(Modeling) Solve each problem.
Orbits of Satellites The polar equation
(a) Graph the orbits of the four closest satellites on the same polar grid. Choose a viewing window that results in a graph with nearly circular orbits.
(b) Plot the orbits of Earth. Jupiter. Uranus, and Pluto on the same polar grid. How does Earth’s distance from the sun compare to the others’ distances from the sun?
(c) Use graphing to determine whether or not Pluto is always farthest from the sun.
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Trigonometry (11th Edition)
- Incline Railway An incline railway is approximately 170 feet long with a 36% uphill grade (see figure). (a) Find the inclination of the railway. (b) Find the change in elevation from the base to the top of the railway. (c) Using the origin of a rectangular coordinate system as the base of the inclined plane, find an equation of the line that models the railway track. (d) Sketch a graph of the equation you found in part (c).arrow_forwardHeight You are holding one of the tethers attached to the top of a giant character balloon that is floating approximately 20 feet above ground level. You are standing approximately 100 feet ahead of the balloon (see figure). (a) Find an equation for the length l of the tether you are holding in terms of h, the height of the balloon from top to bottom. (b) Find an equation for the angle of elevation from you to the top of the balloon. (c) The angle of elevation to the top of the balloon is 35. Find the height h of the balloon.arrow_forwardSuppose a point moves along a circle with radius r as shown in the figure below. The point travels a distance s along the circle in time t. (a) The angular speed of the point is v= (b) The linear speed of the point is v= (c) The linear speed v and angular speed are related by the equation v=rarrow_forward
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