Chapter 11.4, Problem 31E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*In Exercises 29 to 34, use the Law of Sines or the Law of Cosines to solve each problem. Angle measures should be found to the nearest degree and areas and distances to the nearest tenth of a unit.*

A surveillance aircraft at point *C* sights an ammunition warehouse at *A* and enemy head-quarters at *B* through the angles indicated. If points *A* and *B* are 10, 000 m apart, what is the distance from the aircraft to enemy headquarters?

To determine

**To find:**

The distance from the aircraft to enemy headquarters.

Explanation

**Formula:**

The Law of sines,

Where

**Calculation:**

Given,

A surveillance aircraft sights an ammunition warehouse at *A* and enemy headquarters at *B*

They are 10, 000m apart, and their angles of observation are

Let A and B were warehouse and enemy headquarters respectively and C is the surveillance aircraft with angle

Then,

Find *x*:

For any triangle,

Here,

Add

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