SOLUTION: which equation can I used to calculate the height of a building that is 44 feet long and 65 degrees (Sin, Tan, Cos) {{{drawing(1200/11,200,-.5,.1,-.1,1, line(-cos(65*pi/180),

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Question 601189: which equation can I used to calculate the height of a building that is 44 feet long and 65 degrees (Sin, Tan, Cos)

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!

Here are the rules you need for solving such problems:

1. Observe which side of the right triangle you are given.
2. Observe which side of the right triangle you want to find.
3.


From these three pick the trig function that has as a numerator
and denominator the side you are given and also the side you 
want to find.

You are given 44ft, which is the ADJACENT side of the angle 65°
You want to find the height of the buiding h, which is the OPPOSITE 
side of angle 65°.

Therefore pick the TANGENT, because it is the only one of the 
three that has both what side you are given and what side you 
want to find.

Solution:

      tan(65°) = 

Multiply both sides by 44

   44·tan(65°) = h

44·2.144506921 = h  

    94.3583045 = h

Round to 94 feet, which is the height of the building.

Edwin


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