SOLUTION: The longest truck mounted ladder used by the Dallas fire department is 108 feet long and consist of four hydraulic sections. Gerald Travis, aerial expert for the department, indica

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The longest truck mounted ladder used by the Dallas fire department is 108 feet long and consist of four hydraulic sections. Gerald Travis, aerial expert for the department, indica      Log On


   



Question 266783: The longest truck mounted ladder used by the Dallas fire department is 108 feet long and consist of four hydraulic sections. Gerald Travis, aerial expert for the department, indicates that the optimum operating angle of this ladder is 60 degrees. The fire fighters find they need to reach the roof of an 84- foot burning building. Assume the ladder is mounted 8 feet above the ground.
A. Draw a label diagram of the situation
B. How far from the building should the base of the ladder be placed to achieve the optimum operating angle?
C. How far should the ladder be extended to reach the roof?

Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
A. Draw a label diagram of the situation
answer - - > I will let you draw the picture
-----
B. How far from the building should the base of the ladder be placed to achieve the optimum operating angle?
we need to use a cosine function as
cos%2860%29+=+d%2F108
So, d can be expressed as
d+=+108%2Acos%2860%29
or
D+=+54 feet
C. How far should the ladder be extended to reach the roof?
Here we use a sine function as
sin%2860%29+=+76%2FL
so, L can be expressed as
L+=+76%2Fsin%2860%29
or
L+=+87.75 feet