A 5.9 ft-tall girl stands on level ground. The sun is 30 degreesabove the horizon.
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The angle of elevation of the sun is decreasing at a rate of 0.25 rad/h. How fast is the shadow cast by a 400-ft-tall building increasing when the angle of elevation of the sun is π/6?
A 4.00-m-long pole stands vertically in a freshwater lake having a depth of 2.15 m. The Sun is 37.0° above the horizontal. Determine the length of the pole's shadow on the bottom of the lake.
In the figure below, an albatross glides at a constant 14 m/shorizontally above level ground, moving in a vertical plane thatcontains the Sun. It glides toward a wall of height h = 3.5 m,which it will just barely clear. At that time of day, the angle ofthe Sun relative to the ground is ? = 21°.Figure: http://www.webassign.net/hrw8/33-77.gif(a) At what speed does the shadow of the albatross move across thelevel ground?(b) At what speed does the shadow of the albatross move up thewall?Suppose that later a hawk happens to glide along the same path,also at 14 m/s. You see that when its shadow reaches the wall, thespeed of the shadow noticeably increases.(c) Is the Sun now higher or lower in the sky than when thealbatross flew by earlier?(d) If the speed of the hawk's shadow on the wall is 50 m/s, whatis the angle ? of the Sun just then?