If you stand 20 m away from a building , your line of sight to the top of the building is at a 53 degree angle above the horizontal. Your eyes are 1.4 m above the ground. How tall is the building?

Question

anonymous · Answer

Hi, draw the situation. 
|dw:1413920754437:dw|
When you do so, you will see, you can use tangens function, to create equation as follows:
$$\tan 53 = \frac{ x+1,4 }{ 20 }$$
Now just compute the tangens and separate x:
$$x +1,4 = 20 * 1,32$$
and then
$$x = 25,14 m$$