geometry
posted by michelle on .
A ladder leaning against a vertical wall makes a angle of 75degree with the ground. If the foot of the ladder is 4 feet from the base of the wall, would this ladder be long enough for you to retrieve the suction dart that your friend stuck 17ft up the wall?

First set up a right triangle:
/)
H / ) X (wall)
/ )
/75____)
4 (distance from ladder to wall)
ladder=H
distance from ladder to wall=4
height of wall=X
We know that the ladder and the ground make a right triangle so we can use trig functions to solve.
since tan is opposite side over adjacent side we have this so far:
tan75=X/4
4tan75=X (multiply both side by 4)
type that into your calculator and you should get about 15 feet.
Does this answer your question? 
sorry I tried to make a diagram up there but it turned into jibberish when I posted.
Also I forgot to put that the angle between the ladder and the ground is 75. 
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