A building 190 feet tall casts a 60-foot long shadow. If a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person's eyes to the top of the building (to the nearest hundredth of a degree)? (Assume the person's eyes are 4 feet above ground level.)

The angle is approximately 81 degrees. Since the person's eyes are 4 feet above the ground level, and the top of the building is 190 feet tall, the vertical distance between the person's eyes and the top of the building is 190-4=186 feet. The horizontal distance is 30 feet, since the person is standing at the end of the shadow. Therefore tan(angle)=186/30, the angle is equal to arctan(186/30)=81, approximately.

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answer: yard ramps with a level off platform are typically 36 feet long. truck, rather than at an angle, enabling access to those pallets at the very back of the truck. if you are using your yard ramp to convert a loading dock into a drive-in door, we even at 60 inches (5 feet) high and a 30 foot ramp, the slope of the ramp will be less

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