SOLUTION: A twenty-five foot ladder just reaches the top of a house and forms an angle of 41.5degree with the wall of the house. how tall is the house? Round your answer to the nearest 0.1 f

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: A twenty-five foot ladder just reaches the top of a house and forms an angle of 41.5degree with the wall of the house. how tall is the house? Round your answer to the nearest 0.1 f      Log On


   

Question 330066: A twenty-five foot ladder just reaches the top of a house and forms an angle of 41.5degree with the wall of the house. how tall is the house? Round your answer to the nearest 0.1 foot
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Length of ladder =25 feet.
The angle it makse with the ground = 41.5 deg.
+Sin+%28phi%29=+%28perpendicular+%2F+hypotenuse%29
..
Sin%28phi%29%2A%28hypotenuse%29=+perpendicular
%28sin%2841.5%29%2A25%29=+perpendicular+height
0.612*25= height of building
15.3 feet