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Anita Lightfoot is in a plane that is at an elevation of 500 feet. She spots a person sunbathing on the roof of a 225 foot building. The distance from the plane to the person is 360 feet. Find the angle of depression (to the nearest degree) of the sunbather.

2007-03-11 08:16:26 · 6 answers · asked by Anonymous in Science & Mathematics Mathematics

6 answers

The distance is 360, the height 500-225=275
if phi is the angle, then:

phi=arctan(275/360)=37.376 degrees or 37deg 22' 32.91"

2007-03-11 08:32:28 · answer #1 · answered by Anonymous · 0 0

Difference in elevation is (500 - 225) ft.
Hypotenuse (distance from plane to sunbather) is 360 ft.
cos(angle of depression) = adjacent/hypotenuse

2007-03-11 08:24:49 · answer #2 · answered by St N 7 · 0 0

Hi. The difference in height is 500-225 (one side of a triangle). The distance along the ground is 360 (another side of the triangle. 275 and 360 are the height and distance. Find the tangent.

2007-03-11 08:21:26 · answer #3 · answered by Cirric 7 · 0 0

From a level 35 meters above factor floor, a surveyor measures the perspective of melancholy of an merchandise on the floor at sixty 9°. Approximation of the gap from the article to the point on the floor immediately below the surveyor = 35m cot sixty 9 deg = 35m x 0.3839 = 13.40 4 m

2016-10-17 11:40:56 · answer #4 · answered by pataki 4 · 0 0

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2007-03-11 08:18:36 · answer #5 · answered by Phlow 7 · 0 0

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2007-03-11 08:18:37 · answer #6 · answered by Toona Salid 1 · 0 1

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