# 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...

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### 2 Answers

Does this look like your diagram?

In which case:

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

`tan49=(opp.)/(adj.)=3/h-gth=3/tan49=2.6`

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Yes, that is my diagram exactly .... Thank you very much for your help. A++

No problem. I apologize for the original confusion.

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