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# Trigonometry

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1. Joshua has a ladder that is 12 ft long. He will lean the ladder against a vertical wall. For safety reasons, he wants to angle the ladder makes with the ground to be no greater than 75dg. Is it possible for Joshua to lean the ladder against the wall so that the top of the ladder is at least 11.8 ft above the ground? Show your work and draw a diagram to support your answer.

Guest Apr 17, 2017
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Joshua has a ladder that is 12 ft long. He will lean the ladder against a vertical wall. For safety reasons, he wants to angle the ladder makes with the ground to be no greater than 75dg. Is it possible for Joshua to lean the ladder against the wall so that the top of the ladder is at least 11.8 ft above the ground?

$$12ft\times sin\ (75dg)=11.59ft\\11.59ft<11.8ft$$

It is not possible for Joshua to lean the ladder against the wall so that the top of the ladder is at least 11.8 ft above the ground?

!

asinus  Apr 17, 2017