Question 601189
{{{drawing(1200/11,200,-.5,.1,-.1,1,

line(-cos(65*pi/180),sin(65*pi/180),0,0),
line(-cos(65*pi/180),sin(65*pi/180),-cos(65*pi/180),0),

line(0,0,-cos(65*pi/180),0),locate(-.48,.45,h), locate(-.3,0,44ft),
locate(-.2,.13,"65°"), red(arc(0,0,.5,-.5,115,180))


 )}}}
<pre>
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.
{{{matrix(3,1,

SINE=OPPOSITE/(HYPOTENUSE),
COSINE=ADJACENT/(HYPOTENUSE),
TANGENT=OPPOSITE/(ADJACENT)) }}}

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°) = {{{h/44}}}

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</pre>