The sun shines at a 30° angle to the ground. To the nearest inch, how long is the shadow cast by a 72-inch tall fence post?

2020-04-07 8:32 pm

回答 (2)

2020-04-07 8:54 pm
Refer to the figure below.

In the right Δ:
tan(30°) = 72/x
x = 72/tan(30°)
x = 124.7

Length of the shadow = 124.7 in
2020-04-07 8:37 pm
tan theta = opp/adj
 tan 30 = 72/x  <<<  solve for x
  x = 72 tan30  =  41,57 in  ~ 42 in


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