A camera is mounted on a tripod feet high at a distance of feet from george, who is feet tall. look at the model to the right. if the camera lens has angles of depression and elevation of , will george's feet and head be seen by the lens? if not, how far back will the camera need to be moved to include george's feet and head?

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04-04-2022
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A camera is mounted on a tripod feet high at a distance of feet from george, who is feet tall. look at the model to the right. if the camera lens has angles of depression and elevation of , will george's feet and head be seen by the lens? if not, how far back will the camera need to be moved to include george's feet and head?

Sagot :

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azikennamdi azikennamdi · Answer 1 · 2022-04-12T08:20:23-04:00

To capture his feet and head, the camera will need to be moved at least one foot backward. This is an Angles of Elevation and Depression theorem exercise.

What is the Angle of Elevation Theorem?

The angle of elevation is the angle between the line of sight and the horizontal line when an observer looks up. While the Angle of Depression refers to the angle that is formed when the observer looks down.

The formulas are given as:

tan θ = y/x ⇒ θ = tan -1 (y/x).

How to calculate the distance required for the camera to capture Geroge completely

Let us assume that x is the distance in feet that the tripod must be moved back.

Recall that the angle of depression and elevation as given in the question (full version attached) is 20°

The height of the Tripod is 4 feet, at a distance of 10 feet, therefore,

tan (20°) * (10 + x) = 4

⇒

x =4/tan (20°)-10

x= 4/(10.989909678 - 10)

x = 0.9899

x ≈ 1 feet.

Hence the camera must be moved back about 1 feet to capture Geroge..

See the attachements and learn more but Angles of Depression and Elevation at: https://brainly.com/question/15580615

Sagot :

What is the Angle of Elevation Theorem?

How to calculate the distance required for the camera to capture Geroge completely

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