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What is the length of a shadow thrown by a staff 6 feet in height when the centre of the sun is 0.6°above the horizon?

 Oct 18, 2014

Best Answer 

 #1
avatar+394 
+8

The length of a shadow cast on level ground is proportional to the cotangent of the sun's elevation angle relative to the horizon.

 

Calculate the cotangent of (0.6°) then multiply by 6 feet.

Tangent (0.6) = 0.010472358322

CoTan (0.6)= (1/0.010472358322)= 95.4894751738232205

95.4894751738232205 * 6 ft. = 572.936851042939323

 

Length of Shadow is 573 ft.

 

 

 

 

 

7UP

 Oct 19, 2014
 #1
avatar+394 
+8
Best Answer

The length of a shadow cast on level ground is proportional to the cotangent of the sun's elevation angle relative to the horizon.

 

Calculate the cotangent of (0.6°) then multiply by 6 feet.

Tangent (0.6) = 0.010472358322

CoTan (0.6)= (1/0.010472358322)= 95.4894751738232205

95.4894751738232205 * 6 ft. = 572.936851042939323

 

Length of Shadow is 573 ft.

 

 

 

 

 

7UP

SevenUP Oct 19, 2014

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