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When the angle of elevation equals 45 degrees.

tan-1(1) = 45 degrees.

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Q: When is the shadow equal in length to your height?
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How can you calculate height of a pyramid by measuring the length of its shadow?

By means of trigonometry if you know the angle of elevation or by comparing it with a nearby object if you know its height and shadow length.


Is base times height equal length?

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By its shadow :) Then I measure mine shadow, or shadow of any object I know how high is.. and use proportion: HW/MH=WS/MS or HW=MH x WS/MS HW=wood height MH=mine height WS=length of wood shadow MS=length of mine shadow


What will be the shadow length at 4 pm?

The answer depends on: the height of the item casting the shadow, the location on earth, the time of year, and the inclination of the surface on which the shadow is cast.


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I have no idea how to go about this question on my geometry homework! Can someone help me?

The two triangles shown are similar triangles. Numerically, the ratio computed by dividing the length of any side of tower triangle by the length of the corresponding side of the walking stick (similar) triangle will be the same value. Therefore, when the length of the tower shadow is divided by the length of the walking stick shadow, that ratio will be the exactly same as the tower height divided by the walking stick height. (length of tower shadow)/(length of walking stick shadow) = (tower's height)/(walking stick height) tower's height = {(length of tower shadow)/(length of walking stick shadow)}*(walking stick height)


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