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 12-foot 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

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