SOLUTION: A ladder is leaning against the side of a building . The ladder is 30 feet long, and the angle between the ladder and building is 15 degree. About how far is the foot of the ladde

Algebra ->  Triangles -> SOLUTION: A ladder is leaning against the side of a building . The ladder is 30 feet long, and the angle between the ladder and building is 15 degree. About how far is the foot of the ladde      Log On


   

Question 588780: A ladder is leaning against the side of a building . The ladder is 30 feet long, and the angle between the ladder and building is 15 degree. About how far is the foot of the ladder from the building?
Found 2 solutions by littlealice, jim_thompson5910:
Answer by littlealice(2) About Me  (Show Source):
You can put this solution on YOUR website!
Since A= square root of C^2-B^2
Is A= square root of 30^2-15^2
Then A= 900-225
And ends up being 675 which you square root it and it finally gets to 25.98
I hope this helps!
With Love and Care,
Alice. ♥

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sin(theta) = opposite/hypotenuse

sin(15) = x/30

30*sin(15) = x

x = 30*sin(15)

x = 30*0.258819

x = 7.76457


So the foot of the ladder is approximately 7.76457 feet from the building.