Chapter 2.8, Problem 47E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

A plane flying with a constant speed of 300 km/h passes over a ground radar station at an altitude of 1 km and climbs at an angle of

To determine

**To find:**

The rate at which the distance from the plane to radar is increasing.

Explanation

**1. Given:**

The plane flying with a constant speed

**2. Calculation:**

The figure is as shown below.

The angle A = 30 +90 = 120

Convert the speed to per minute.

At 1 minute, the plane travels 5 km from A to B.

c Â at the end of one minute is Â 5 km

ACÂ = 1 km

Using law of cosine,

After one min Â c=5 km substituting this value in above expression we can obtain value of after one minute

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