A hotel plans to use marble for part of the floor lobby. The marble section of the floor will be in the shape of a triangle with a base of 80 feet and a height of 60 feet. The marble flooring costs $6 per square foot. How much will the marble for the floor cost?

The area of a triangle is given by the formula:

Area = (1/2) * base * height

Plugging in the values:
Area = (1/2) * 80 feet * 60 feet
Area = 2400 square feet

The cost will be calculated by multiplying the area by the cost per square foot:
Cost = 2400 square feet * $6/square foot = $<<2400*6=14400>>14400. Answer: \boxed{14400}.