SOLUTION: Suppose that a 16-foot ladder is leaning against a wall, making a 75 angle with the ground (as measured from a perpendicular line from the base of the ladder to the wall). How high

Algebra ->  Trigonometry-basics -> SOLUTION: Suppose that a 16-foot ladder is leaning against a wall, making a 75 angle with the ground (as measured from a perpendicular line from the base of the ladder to the wall). How high      Log On


   

Question 597824: Suppose that a 16-foot ladder is leaning against a wall, making a 75 angle with the ground (as measured from a perpendicular line from the base of the ladder to the wall). How high up the wall is the end of the ladder?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sin(theta) = opposite/hypotenuse

sin(75) = x/16

16*sin(75) = x

x = 16*sin(75)

x = 16*0.965925826289068

x = 15.4548132206251

So the ladder reaches approximately 15.4548 feet up the wall.