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8th Edition

Charles P. McKeague + 1 other

Publisher: Cengage Learning

ISBN: 9781305652224

Chapter 2.4, Problem 23PS

Textbook Problem

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Solve each of the following problems. In each case, be sure to make a diagram of the situation with all the given information labeled.

Angle of Depression A person standing 150 centimeters from a mirror notices that the angle of depression from his eyes to the bottom of the mirror is 12°, while the angle of elevation to the top of the mirror is 11°. Find the vertical dimension of the mirror (Figure 14).

Figure 14

To determine

**To find:**

The vertical dimension of the mirror in the given figure. Also, to draw the diagram of the situation with all the given information labeled.

**Given information:**

A person standing 150 centimeters from a mirror notices that the angle of depression from his eyes to the bottom of the mirror is

**Concept Used:**

Pythagorean Theorem:

**Sketch:**

**Calculation:**

Let’s assume that the vertical dimension of the mirror is the length of AC as shown in the above diagram.

Now, we can find the length of AC by using the tangent ratios as follows;

Here we have,

Trigonometry (MindTap Course List)

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Round to...Ch. 2 - Use a calculator to find to the nearest tenth of...Ch. 2 - Use a calculator to find to the nearest tenth of...Ch. 2 - The following problems refer to right triangle ABC...Ch. 2 - The following problems refer to right triangle ABC...Ch. 2 - The following problems refer to right triangle ABC...Ch. 2 - The following problems refer to right triangle ABC...Ch. 2 - Geometry If the altitude of an isosceles triangle...Ch. 2 - Angle of Elevation If the angle of elevation of...Ch. 2 - Distance Two guy wires from the top of a 35-foot...Ch. 2 - Vector Angle Vector V has a horizontal vector...Ch. 2 - Velocity A bullet is fired into the air with an...Ch. 2 - Distance and Bearing A ship travels 120 miles on a...Ch. 2 - Force Tyler and his cousin Kelly have attached a...Ch. 2 - Force Tyler and Kelly decide to rollerskate. 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Using the ordinary interest method, what is the rate of interest on a loan of $25,000 for 245 days if the amoun...

Contemporary Mathematics for Business & Consumers

The accompanying specific gravity values for various wood types used in construction appeared in the article Bo...

Probability and Statistics for Engineering and the Sciences

Place the following scores in a frequency distribution table. Based on the frequencies, what is the shape of th...

Statistics for The Behavioral Sciences (MindTap Course List)

5962 Use Lagrange multipliers to find the maximum and minimum values of f subject to the given constraints. f(x...

Calculus (MindTap Course List)

Law of Cooling A car engine runs at a temperature of 190F. When the engine is turned off, it cools according to...

Precalculus: Mathematics for Calculus (Standalone Book)

Find the area of MNPQifa=6.3cm,b=8.9cm,and=67.5. Answer to the nearest tenth of a square centimeter. See Exerci...

Elementary Geometry for College Students

Area In Exercises 89-92, find the area of the given region. y=5xx4+1

Calculus: Early Transcendental Functions (MindTap Course List)

Existence of a Zero In Exercises 83-86, explain why the function has at least one zero in the given interval. F...

Calculus of a Single Variable

In Exercise 1731, solve each linear programming problem by the simplex method. Maximize P=12x+10y+5z. Subject t...

Finite Mathematics for the Managerial, Life, and Social Sciences

Of all airline flight requests received by a certain discount ticket broker, 70% are for domestic travel (D) an...

Introduction To Statistics And Data Analysis

Explain the issue of interdependence and independence of factors, and how it is related to interaction.

Research Methods for the Behavioral Sciences (MindTap Course List)

Sketching a Graph In Exercises 19-24, sketch the graph of the function. y=ex

Calculus (MindTap Course List)

Simplify. 9b(15b2c+d)

Mathematics For Machine Technology

Determine if the statement is true or false. If the statement is false, then correct it and make it true. The d...

College Algebra (MindTap Course List)

The polar coordinates of the point P in the figure at the right are:

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

An iterated integral for the volume of the solid shown is:

Study Guide for Stewart's Multivariable Calculus, 8th

Bicycling, the worlds leading cycling magazine, reviews hundreds of bicycles throughout the year. Their Road-Ra...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

HOW DO YOU SEE IT? The region R is transformed into a simpler region 5 (see figure).Which substitution can be u...

Multivariable Calculus

In Exercises 120, write the given number in expanded form, or explain why there is no such number. 3,258

Mathematics: A Practical Odyssey

Describe the basic concern with measuring inter-rater reliability and explain how Cohens kappa addresses this c...

Research Methods for the Behavioral Sciences (MindTap Course List)

A study on driving speed (miles per hour) and fuel efficiency (miles per gallon) for midsize automobiles result...

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

SAT Scores. In May 2018, The College Board reported the following mean scores for two parts of the Scholastic A...

Essentials Of Statistics For Business & Economics

Engine Displacement The displacement for an automobile engine is the total volume displaced by the cylinders in...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

Prove each statement in 8-23 by mathematical induction. 5n+96n, for each integer n2.

Discrete Mathematics With Applications

In Problems 4958 find a homogeneous linear differential equation with constant coefficients whose general solut...

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

For the following exercises, points P(4, 2) and Q(x, y) are on the graph of the function f(x)=x . 8. Use the va...

Calculus Volume 1

Course evaluation ratings for four college instructors are shown in the following table. Use α = .05 and test f...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

Testing for Symmetry In Exercises 25-32, use the algebraic tests to check for symmetry with respect to both axe...

College Algebra

Explain what is wrong with the following integral: 11dt|t| t 2 1 .

Calculus Volume 2