Problem: A plumber steps out of his truck, walks 66 m east and 35 m south, and then takes an elevator 12 m into the subbasement of a building where a bad leak is occurring.What is the displacement of the plumber relative to his truck? Give your answer in components. Assume exttip{x}{x} is east, exttip{y}{y} is north, and exttip{z}{z} is up.What is the magnitude of the displacement?Give the angle, with respect to the exttip{x}{x} axis, in the vertical plane. Assume exttip{x}{x} is east.Give the angle, with respect to the exttip{x}{x} axis, in the horizontal plane. Assume exttip{x}{x} is east.

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Problem Details

A plumber steps out of his truck, walks 66 m east and 35 m south, and then takes an elevator 12 m into the subbasement of a building where a bad leak is occurring.

What is the displacement of the plumber relative to his truck? Give your answer in components. Assume is east, is north, and is up.

What is the magnitude of the displacement?

Give the angle, with respect to the axis, in the vertical plane. Assume is east.

Give the angle, with respect to the axis, in the horizontal plane. Assume is east.

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Vectors in 3D concept. If you need more Vectors in 3D practice, you can also practice Vectors in 3D practice problems.

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Based on our data, we think this problem is relevant for Professor Wynveen's class at UMN.