SOLUTION: A ladder is leaning against a wall so that it makes an angle of 31 degrees with the wall. If the base of the ladder is 4 feet from the base of the wall, how long is the ladder?

Algebra ->  Triangles -> SOLUTION: A ladder is leaning against a wall so that it makes an angle of 31 degrees with the wall. If the base of the ladder is 4 feet from the base of the wall, how long is the ladder?      Log On


   



Question 813039: A ladder is leaning against a wall so that it makes an angle of 31 degrees with the wall.
If the base of the ladder is 4 feet from the base of the wall, how long is the ladder?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A ladder is leaning against a wall so that it makes an angle of 31 degrees with the wall.
If the base of the ladder is 4 feet from the base of the wall, how long is the ladder?
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Draw the picture.
You have a right triangle with::
base = 4
base angle = 31 degrees
hypotenuse = x
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Equation:
cos(31) = 4/x
x = 4/cos(31) = 4.6665 ft.
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Cheers,
Stan H.
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