Chapter 11.CR, Problem 13CR

BuyFind*arrow_forward*

6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

1 views

*In Exercises 13 to 17, use the Law of *
* or the Law of *
* to solve each problem. Angle measures should be found to the nearest degree; distances should be found to the nearest tenth of a unit.*

A building 50 ft tall is on a hillside. A surveyor at a point on the hill observes that the angle of elevation to the top of the building measures

To determine

How far is the surveyor from the base of the building.

Explanation

**Procedure used:**

In any triangle ABC such that

The Law of cosines is given by

The Law of sines is given by

**Calculation:**

**Given:**

Let us name the given figure as follows.

From the above figure we have two triangles having right angle at P.

Thus, in

Also, in

Then, in

Also

Now, consider the triangle ASP to find the

Sect-11.1 P-1ESect-11.1 P-2ESect-11.1 P-3ESect-11.1 P-4ESect-11.1 P-5ESect-11.1 P-6ESect-11.1 P-7ESect-11.1 P-8ESect-11.1 P-9ESect-11.1 P-10E

Sect-11.1 P-11ESect-11.1 P-12ESect-11.1 P-13ESect-11.1 P-14ESect-11.1 P-15ESect-11.1 P-16ESect-11.1 P-17ESect-11.1 P-18ESect-11.1 P-19ESect-11.1 P-20ESect-11.1 P-21ESect-11.1 P-22ESect-11.1 P-23ESect-11.1 P-24ESect-11.1 P-25ESect-11.1 P-26ESect-11.1 P-27ESect-11.1 P-28ESect-11.1 P-29ESect-11.1 P-30ESect-11.1 P-31ESect-11.1 P-32ESect-11.1 P-33ESect-11.1 P-34ESect-11.1 P-35ESect-11.1 P-36ESect-11.1 P-37ESect-11.1 P-38ESect-11.1 P-39ESect-11.2 P-1ESect-11.2 P-2ESect-11.2 P-3ESect-11.2 P-4ESect-11.2 P-5ESect-11.2 P-6ESect-11.2 P-7ESect-11.2 P-8ESect-11.2 P-9ESect-11.2 P-10ESect-11.2 P-11ESect-11.2 P-12ESect-11.2 P-13ESect-11.2 P-14ESect-11.2 P-15ESect-11.2 P-16ESect-11.2 P-17ESect-11.2 P-18ESect-11.2 P-19ESect-11.2 P-20ESect-11.2 P-21ESect-11.2 P-22ESect-11.2 P-23ESect-11.2 P-24ESect-11.2 P-25ESect-11.2 P-26ESect-11.2 P-27ESect-11.2 P-28ESect-11.2 P-29ESect-11.2 P-30ESect-11.2 P-31ESect-11.2 P-32ESect-11.2 P-33ESect-11.2 P-34ESect-11.2 P-35ESect-11.2 P-36ESect-11.2 P-37ESect-11.2 P-38ESect-11.2 P-39ESect-11.2 P-40ESect-11.2 P-41ESect-11.2 P-42ESect-11.2 P-43ESect-11.2 P-44ESect-11.2 P-45ESect-11.3 P-1ESect-11.3 P-2ESect-11.3 P-3ESect-11.3 P-4ESect-11.3 P-5ESect-11.3 P-6ESect-11.3 P-7ESect-11.3 P-8ESect-11.3 P-9ESect-11.3 P-10ESect-11.3 P-11ESect-11.3 P-12ESect-11.3 P-13ESect-11.3 P-14ESect-11.3 P-15ESect-11.3 P-16ESect-11.3 P-17ESect-11.3 P-18ESect-11.3 P-19ESect-11.3 P-20ESect-11.3 P-21ESect-11.3 P-22ESect-11.3 P-23ESect-11.3 P-24ESect-11.3 P-25ESect-11.3 P-26ESect-11.3 P-27ESect-11.3 P-28ESect-11.3 P-29ESect-11.3 P-30ESect-11.3 P-31ESect-11.3 P-32ESect-11.3 P-33ESect-11.3 P-34ESect-11.3 P-35ESect-11.3 P-36ESect-11.3 P-37ESect-11.3 P-38ESect-11.3 P-39ESect-11.3 P-40ESect-11.3 P-41ESect-11.3 P-42ESect-11.3 P-43ESect-11.3 P-44ESect-11.3 P-45ESect-11.3 P-46ESect-11.3 P-47ESect-11.4 P-1ESect-11.4 P-2ESect-11.4 P-3ESect-11.4 P-4ESect-11.4 P-5ESect-11.4 P-6ESect-11.4 P-7ESect-11.4 P-8ESect-11.4 P-9ESect-11.4 P-10ESect-11.4 P-11ESect-11.4 P-12ESect-11.4 P-13ESect-11.4 P-14ESect-11.4 P-15ESect-11.4 P-16ESect-11.4 P-17ESect-11.4 P-18ESect-11.4 P-19ESect-11.4 P-20ESect-11.4 P-21ESect-11.4 P-22ESect-11.4 P-23ESect-11.4 P-24ESect-11.4 P-25ESect-11.4 P-26ESect-11.4 P-27ESect-11.4 P-28ESect-11.4 P-29ESect-11.4 P-30ESect-11.4 P-31ESect-11.4 P-32ESect-11.4 P-33ESect-11.4 P-34ESect-11.4 P-35ESect-11.4 P-36ESect-11.4 P-37ESect-11.4 P-38ESect-11.4 P-39ESect-11.4 P-40ESect-11.4 P-41ESect-11.4 P-42ESect-11.4 P-43ESect-11.4 P-44ESect-11.CR P-1CRSect-11.CR P-2CRSect-11.CR P-3CRSect-11.CR P-4CRSect-11.CR P-5CRSect-11.CR P-6CRSect-11.CR P-7CRSect-11.CR P-8CRSect-11.CR P-9CRSect-11.CR P-10CRSect-11.CR P-11CRSect-11.CR P-12CRSect-11.CR P-13CRSect-11.CR P-14CRSect-11.CR P-15CRSect-11.CR P-16CRSect-11.CR P-17CRSect-11.CR P-18CRSect-11.CR P-19CRSect-11.CR P-20CRSect-11.CR P-21CRSect-11.CR P-22CRSect-11.CR P-23CRSect-11.CR P-24CRSect-11.CR P-25CRSect-11.CR P-26CRSect-11.CR P-27CRSect-11.CR P-28CRSect-11.CR P-29CRSect-11.CR P-30CRSect-11.CR P-31CRSect-11.CR P-32CRSect-11.CR P-33CRSect-11.CR P-34CRSect-11.CT P-1CTSect-11.CT P-2CTSect-11.CT P-3CTSect-11.CT P-4CTSect-11.CT P-5CTSect-11.CT P-6CTSect-11.CT P-7CTSect-11.CT P-8CTSect-11.CT P-9CTSect-11.CT P-10CTSect-11.CT P-11CTSect-11.CT P-12CTSect-11.CT P-13CTSect-11.CT P-14CTSect-11.CT P-15CTSect-11.CT P-16CTSect-11.CT P-17CTSect-11.CT P-18CTSect-11.CT P-19CTSect-11.CT P-20CT

Elementary Geometry For College Students, 7e

Multivariable Calculus

Precalculus: Mathematics for Calculus (Standalone Book)

Single Variable Calculus: Early Transcendentals, Volume I

Elementary Technical Mathematics

Calculus: Early Transcendental Functions

Probability and Statistics for Engineering and the Sciences

Single Variable Calculus

Finite Mathematics

Essentials Of Statistics

Statistics for The Behavioral Sciences (MindTap Course List)

Contemporary Mathematics for Business & Consumers

Understanding Basic Statistics

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Mathematical Applications for the Management, Life, and Social Sciences

Calculus of a Single Variable

Finite Mathematics for the Managerial, Life, and Social Sciences

Single Variable Calculus: Early Transcendentals

Calculus: Early Transcendentals

Mathematical Excursions (MindTap Course List)

Intermediate Algebra

Trigonometry (MindTap Course List)

Elements Of Modern Algebra

Calculus: An Applied Approach (MindTap Course List)

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Finite Mathematics and Applied Calculus (MindTap Course List)

Calculus: Early Transcendental Functions (MindTap Course List)

Calculus (MindTap Course List)

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Introduction To Statistics And Data Analysis

Study Guide for Stewart's Multivariable Calculus, 8th

College Algebra (MindTap Course List)

Mathematics For Machine Technology

Mathematics: A Practical Odyssey

Multivariable Calculus

Research Methods for the Behavioral Sciences (MindTap Course List)

Research Methods for the Behavioral Sciences (MindTap Course List)

Statistics for Business & Economics, Revised (MindTap Course List)

Calculus (MindTap Course List)

STATISTICS F/BUSINESS+ECONOMICS-TEXT