What is the length of a shadow at 8am?

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In summary, the conversation is about finding the length of a shadow of a building at 8AM using the angle of the sun and its apparent motion across the sky. The sun rises at 6AM and sets at 6PM, covering 180 degrees in 12 hours. By looking at the angle and fraction of time passed since sunrise, the length of the shadow can be determined.
  • #1
korko
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Hi there!

I need help with trig. I know how to find angles or sides etc. but the problem is I can't picture what this word problem trying to ask me. It would be great if you show me the picture, and I would most likely know how to figure out the sides.

Q1:
On a sunny day, the shadows of stationary objects move slowly across the ground. This is caused by the apparent motion of the sun across the sky, due to the rotation of the Earth. Assume that the sun rises due east at 6a.m, and sets due west at 6p.m.

Find the length of the shadow of a 150m building at:
a) 8A.M

Thanks,
 
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  • #2
Look at it in terms of angles and fractions. The sun has 180 degrees to cover over a period of 12 hours. 8am is 2 hours after sunrise. The angle of the sun is related to the angel of the shadow.

Does that help you any?
 
Last edited:
  • #3
kts123 said:
Look at it in terms of angles and fractions. The sun has 180 degrees to cover over a period of 12 hours. 8am is 2 hours after sunrise. The angle of the sun is related to the angel of the shadow.

Does that help you any?

yes it does, thank you! :D
 

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