Question #0f211

1 Answer
Aug 29, 2017
  1. 4.95 meters
  2. 5.34 meters

Explanation:

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First, to find how high the ladder reaches, we can use tangent.
the formula for the tangent of an angle is
#tan(theta)=o/a#
the angle is 68, the adjacent side is 2
#tan(68)=x/2#
multiply by two
#2*tan(68)=x#
#x=4.95# meters
then, to find the length of the ladder (y in the diagram) we can use cosine
#cos(theta)= a/h#
#cos(68) = 2/y#
move the equation around a little bit
#y = 2/cos(68)#
#y = 5.34# meters