Chapter 11.4, Problem 29E

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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 triangular lot has street dimensions of

a) Find the length of the remaining side of the lot.

b) Find the area of the lot in square feet.

To determine

**a.**

**To find:**

The length of the remaining side of the triangular lot.

Explanation

**Formula:**

The Law of Cosines

Where *a*, *b*, and *c* is the sides of the triangle.

**Calculation:**

Given,

A triangular lot has street dimensions of 150 ft 180 ft with angle

From the figure,

Let

Find *x*:

By the law of cosines,

To determine

**b.**

**To find:**

The area of the triangular lot in square ft.

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