Solve the given problems. Use a ruler and protractor as in...

Solve the given problems. Use a ruler and protractor as in Examples 6 and 7.
A ski tow is moving skiers vertically upward at $24 \mathrm{m} / \mathrm{min}$ and horizontally at $44 \mathrm{m} / \mathrm{min}$. What is the velocity of the tow?

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Key Concepts

Vector Addition

Vector addition is the process of combining multiple vectors to form a resultant vector. Here, the upward and horizontal movements are added using the components, leading to the overall velocity of the tow, which represents the magnitude and direction of the combined motion.

Vector Components

The concept of vector components involves breaking down a vector into perpendicular parts, typically horizontal and vertical, which simplifies the analysis of its overall behavior. In problems like this one, separating the motion into vertical and horizontal components allows us to treat them independently before recombining the results.

Pythagorean Theorem

The Pythagorean theorem is used to compute the magnitude of the resultant vector when its perpendicular components are known. In the context of this problem, the theorem enables us to find the actual speed of the tow by calculating the square root of the sum of the squares of the horizontal and vertical speeds.

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