The distance between the end of a lamppost’s shadow and the top of the lamppost is 39 feet. The angle measure of the shadow is 23°. How long is the shadow of the lamppost to the nearest tenth of a foot?

Question

anonymous · Answer

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anonymous · Answer

Length of the shadow = x

Now x = adjacent side   and
hypotenuse = 39
                                 adjacent side
we know cos Θ = -------------
                                  hypotenuse
                          x
so cos 23° = ------
                        39

so 39*cos 23° = x

value of cos 23° = 0.920504853

so
x = 39*0.920504853
x = 35.899689267
x = 35.90 approx

anonymous · Answer

so length of shadow is approx 35.90 ft