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# River Rescue: Angle for Direct Approach to Child

**Chapter 4, Problem 85CP**

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**QUESTION:**

A child in danger of drowning in a river is being carried downstream by a current that flows uniformly with a speed of 2.0 m/s. The child is 200 m from the shore and 1500 m upstream of the boat dock from which the rescue team sets out. If their boat speed is 8.0 m/s with respect to the water, at what angle from the shore should the pilot leave the shore to go directly to the child?

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##### River Rescue: Angle for Direct Approach to Child

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Join us for a dramatic river rescue mission! In this video, we solve the problem of how a rescue team can reach a child in danger of drowning in a fast-flowing river. We calculate the angle from the shore for their pilot to approach the child directly, considering the river's current and the boat's speed. Explore the principles of vector addition and save lives!

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### Questions & Answers

**QUESTION:**

A child in danger of drowning in a river is being carried downstream by a current that flows uniformly with a speed of 2.0 m/s. The child is 200 m from the shore and 1500 m upstream of the boat dock from which the rescue team sets out. If their boat speed is 8.0 m/s with respect to the water, at what angle from the shore should the pilot leave the shore to go directly to the child?

**ANSWER:**

Step 1 of 4

We are required to find the angle of the pilot need to go directly to the child