Posted by michelle on Thursday, April 2, 2009 at 2:02pm.
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?

geometry  Riley, Thursday, April 2, 2009 at 2:17pm
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?

geometry  Riley, Thursday, April 2, 2009 at 2:18pm
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.

geometry  MAKIL, Thursday, June 21, 2012 at 12:46pm
9. An equilateral triangle has an altitude length of 36 feet. Determine the length of a side of the triangle.

geometry  Anonymous, Thursday, September 6, 2012 at 8:44am
a 12foot ladder rests against the side of a house.the base of the ladder is 3 feet away from the side of the house.how high above the ground is the top of the ladder? round to the nearest of a foot

geometry  Mark, Friday, May 15, 2015 at 12:00am
The base of a ladder should be placed 3 feet from the wall for every 5 feet of ladder length. How many a ladder is needed to safely reach 36 feet above ground?
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