A person is standing at the edge of the water and looking out at the ocean. The height of the person's eyes above the water is h = 16 meters, and the radius of the Earth is
(a) How far is the horizon?
(b) Express (a) in miles.
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A person is standing at the edge of a pool 2.1 m deep. The pool is filled with water of index of refraction n = 1.33. Light traveling from an object at the bottom of the pool emerges from the water and travels to the person's eye. The light traveling in the air to the person's eye makes a ϕ = 45° angle with the normal to the surface of the water. The person's eyes are 2.1 m above the ground. (y1 = y2 = 2.1 m)
Find the distance x of the object from the edge of the pool.
A person throws a ball towards a wall at an angle of 40 degrees above the horizontal. The ball is thrown with a velocity of 35 ft/s and leaves the person's hands at a distance of 6.33 ft above the ground. The ball strikes the building a distance of 10.75 ft above the ground after having already reached its max height. How far from the building is the person standing?
How Far Can You See? Because of the curvature of the earth, the maximum distance D that you can see from the top of a tall building or from an airplane at height h is estimated by the formula:
where r = 3960 miles is the radius of the earth and D and h measured in miles.
(a) Find D(0.1) and D(0.2).
(b) How far can you see from the observation deck of Toronto's CN tower, 1135 ft above the ground?
(c) Commercial aircraft fly at an altitude of about 7 mi. How far can the pilot see?
