Fire Fighting The longest truck-mounted ladder used by the Dallas Fire Department is 108 feet…

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Fire Fighting The longest truck-mounted ladder used by the Dallas Fire Department is 108 feet long and consists of four hydraulic sections. Gerald Travis, aerial expert for the department, indicates that the optimum operating angle of this ladder is 60°. 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 labeled 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?