Homework Help: trig

Posted by Anonymous on Monday, October 17, 2011 at 9:15am.

as the sun rises it casts a long shadow over a boy who is leaning next to a tree. the tree is 35 feet tall and the sun's rays create an angle of depression of 70 degrees with the top of the tree. how long is the shadow

trig - Steve, Monday, October 17, 2011 at 2:29pm
Forget about the boy. Not relevant to the solution.

So, now we have a triangle with one leg 35, and the angle at the top of the tree is (90-70)° = 20°.

So, if the shadow is s feet long, then

s/35 = tan 20°
s = 12.7 ft

Looks like a short shadow to me. A smaller angle of depression would make a longer shadow.

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