Solve the Problem $V$ -Shaped Canyon $50,175 \mathrm { ft }$ B) $50,172 \mathrm { ft }$

question 178

Multiple Choice

Solve the problem.
-A railroad bridge is built over a $V$ -shaped canyon. If the supports are 7 feet long at each end, the center support is 388 feet long, and the supports increase in length by 3 feet with each support (from 7 feet to 388 feet) , what is the total length of all the supports?

• A) \(50,175 \mathrm { ft }\)
• B) \(50,172 \mathrm { ft }\)
• C) \(50,169 \mathrm { ft }\)
• D) \(50,165 \mathrm { ft }\)

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Definitions:

Eardrum

The eardrum, also known as the tympanic membrane, is a thin membrane that separates the outer ear from the middle ear and vibrates in response to sound waves.

ENT

Ear, Nose, and Throat; a branch of medicine concerned with the diagnosis and treatment of disorders of the head and neck.

Air Conduction

The process by which sound waves travel through the air in the external auditory canal to the eardrum and middle ear, facilitating hearing.

AC

Alternating Current, a type of electrical current in which the flow of electric charge periodically reverses direction.