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A ladder leans against a building forming an angle of 55 with the ground as shown in the diagram. The base of the ladder is 5 feet from the building. What is the length of the ladder?
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wheres the diagram?
use cos55
cos 55 = 5 ft / ladderlength cos (55) * ladderlength = 5 ft ladderlength = 5ft / cos (55)
Use trigonometric ratios to figure this out. S=o/h c=a/h t=o/a What two numbers do we have to figure out? We have 5ft (adjacent) and we need to figure out the ladder (hypotenuse) Which of sohcahtoa (assuming you learned this already) has adjacent and hypotenuse? c = 5/h Use the angle. 55 cos 55 = 5/h plug cos 55 into your calculator and cross multiply cos 55 h = 5 h=8.7
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5/ cos55 i meant
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