# A wooden plank is leaning against a wall. The bottom of the plank is 3 feet from the wall. Answer each of the following questions, and show all of your work. Find AC,approximate length of the...

A wooden plank is leaning against a wall. The bottom of the plank is 3 feet from the wall. Answer each of the following questions, and show all of your work. Find AC,approximate length of the plank to nearset tenth of a foot. Find BC the height off the ground where board touches the wall to the nearest foot/ Angle is 49 degrees at acute angle at C 3 feet is at AB it is either cos49 or sin49 Thank you for your help

Does this look like your diagram?

In which case:

`sin49=(opp.)/(hyp.)=3/L-gtL=3/sin49~~4`

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By representing the data in the right triangle ABC we get

AC=  height of the plank = l

BC = height of the ground where the plank touches the wall = h

AB = distance from the wall = 3

so, tan 49 = AB/BC = 3/h = 3/1.1504 = 2.6f

sin 49 = AB / AC = 3/ l = 3/0.7547 = 3.9f