SOLUTION: A flagpole 4 m tall stands on a sloping roof. A siupport wire 5 m long joins the top of the pole to a point on the roof 6 m up from the bottom of the pole. At what angle is the roo

Algebra ->  Rational-functions -> SOLUTION: A flagpole 4 m tall stands on a sloping roof. A siupport wire 5 m long joins the top of the pole to a point on the roof 6 m up from the bottom of the pole. At what angle is the roo      Log On


   

Question 43952: A flagpole 4 m tall stands on a sloping roof. A siupport wire 5 m long joins the top of the pole to a point on the roof 6 m up from the bottom of the pole. At what angle is the roof inclined to the horizontal?
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
From law of cosine:
Let x be the unknown angle
EQUATION:
5%5E2=4%5E2%2B6%5E2-2%284%29%286%29cos%28x%29
25=52-48cos(x)
-25=-48cos(x)
x=55.8
Hence, the anlge is 55.8 degrees
PAul.