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⦁    Joshua has a ladder that is 12 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 75°. Will the ladder be safe at this height? Show your work and draw a diagram to support your answer. 

asookles  May 16, 2018
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The ladder length will form the hypotenuse of a right triangle and the 11.8 ft will form the opposite leg to the angle we are seeking....to find this angle, use the sine inverse....so we have

 

arcsin (11.8 / 12)  ≈  79.5°

 

So..it is unsafe

 

Here's a pic :

 

 

cool cool cool

 
CPhill  May 16, 2018

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