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A rescue and ?re squad places a 15 ft ladder against a burning building. If the ladder is 9 ft from the base of the building, how far up the building will the ladder reach?
a. 8 ft
b. 10 ft
c. 12 ft
d. 14 ft
c. The ladder creates a right triangle with the building. The length of the ladder is the hypotenuse and the distance from the base is a leg. The question asks you to answer for the remaining leg of the triangle, or how far up the building the ladder will go. Using the Pythagorean theorem: 92 + b2 = 152; 81 + b2 = 225; b2 = 225 - 81; b2 = 144; b = 12.
If a+b+c = 3a , then cotB/2 cotC/2 is equal to
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