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#36745

trigonometry

right triangles

geometry

hard

100 sec

A ramp is built to reach a loading dock. The ramp makes an angle of $1 5^{\circ}$ with the ground. The horizontal distance from the start of the ramp to the base of the loading dock is 40 feet. If the area of the triangular cross-section formed by the ramp, the ground, and the loading dock wall can be expressed as $k tan 1 5^{\circ}$ square feet, what is the value of $k$ ?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.