jamie7836 jamie7836

07-05-2018
Mathematics

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A fire truck has a ladder that can extend to 60 feet in length. the ladder can be safely raised to a maximum angle of 75o with the horizontal. disregarding the height of the fire truck itself, which is closest to the maximum height that the ladder can safely reach?

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calculista calculista

16-05-2018

see the attached figure to better understand the problem

we know that
in the right triangle ABC

sin 75°=BC/AB-------> BC=AB*sin 75°----> BC=60*sin 75°----> BC=57.96 ft

the answer is
57.96 ft

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