 4.8.1: Fill in the blanks. An angle that measures from the horizontal upwa...
 4.8.2: Fill in the blanks. A ________ measures the acute angle a path or l...
 4.8.3: Fill in the blanks. A point that moves on a coordinate line is said...
 4.8.4: In Exercises 110, solve the right triangle shown in the figure. Rou...
 4.8.5: In Exercises 110, solve the right triangle shown in the figure. Rou...
 4.8.6: In Exercises 110, solve the right triangle shown in the figure. Rou...
 4.8.7: In Exercises 110, solve the right triangle shown in the figure. Rou...
 4.8.8: In Exercises 110, solve the right triangle shown in the figure. Rou...
 4.8.9: In Exercises 110, solve the right triangle shown in the figure. Rou...
 4.8.10: In Exercises 110, solve the right triangle shown in the figure. Rou...
 4.8.11: In Exercises 1114, find the altitude of the isosceles triangle show...
 4.8.12: In Exercises 1114, find the altitude of the isosceles triangle show...
 4.8.13: In Exercises 1114, find the altitude of the isosceles triangle show...
 4.8.14: In Exercises 1114, find the altitude of the isosceles triangle show...
 4.8.15: Length The sun is above the horizon. Find the length of a shadow ca...
 4.8.16: Length The sun is above the horizon. Find the length of a shadow ca...
 4.8.17: Height A ladder 20 feet long leans against the side of a house. Fin...
 4.8.18: Height The length of a shadow of a tree is 125 feet when the angle ...
 4.8.19: Height From a point 50 feet in front of a church, the angles of ele...
 4.8.20: Height You are standing 100 feet from the base of a platform from w...
 4.8.21: Depth The sonar of a navy cruiser detects a submarine that is 4000 ...
 4.8.22: Angle of Elevation An engineer erects a 75foot cellular telephone ...
 4.8.23: Angle of Elevation The height of an outdoor basketball backboard is...
 4.8.24: Angle of Depression A Global Positioning System satellite orbits 12...
 4.8.25: Angle of Depression A cellular telephone tower that is 150 feet tal...
 4.8.26: Airplane Ascent During takeoff, an airplanes angle of ascent is and...
 4.8.27: Mountain Descent A sign on a roadway at the top of a mountain indic...
 4.8.28: Mountain Descent A roadway sign at the top of a mountain indicates ...
 4.8.29: Navigation An airplane flying at 600 miles per hour has a bearing o...
 4.8.30: Navigation A jet leaves Reno, Nevada and is headed toward Miami, Fl...
 4.8.31: Navigation A ship leaves port at noon and has a bearing of The ship...
 4.8.32: Navigation A privately owned yacht leaves a dock in Myrtle Beach, S...
 4.8.33: Surveying A surveyor wants to find the distance across a swamp (see...
 4.8.34: Location of a Fire Two fire towers are 30 kilometers apart, where t...
 4.8.35: Navigation A ship is 45 miles east and 30 miles south of port. The ...
 4.8.36: Navigation An airplane is 160 miles north and 85 miles east of an a...
 4.8.37: Distance An observer in a lighthouse 350 feet above sea level obser...
 4.8.38: Distance A passenger in an airplane at an altitude of 10 kilometers...
 4.8.39: Altitude A plane is observed approaching your home and you assume t...
 4.8.40: Height While traveling across flat land, you notice a mountain dire...
 4.8.41: In Exercises 41 and 42, find the angle between two nonvertical line...
 4.8.42: In Exercises 41 and 42, find the angle between two nonvertical line...
 4.8.43: Geometry Determine the angle between the diagonal of a cube and the...
 4.8.44: Geometry Determine the angle between the diagonal of a cube and its...
 4.8.45: Geometry Find the length of the sides of a regular pentagon inscrib...
 4.8.46: Geometry Find the length of the sides of a regular hexagon inscribe...
 4.8.47: Hardware Write the distance across the flat sides of a hexagonal nu...
 4.8.48: Bolt Holes The figure shows a circular piece of sheet metal that ha...
 4.8.49: Trusses In Exercises 49 and 50, find the lengths of all the unknown...
 4.8.50: Trusses In Exercises 49 and 50, find the lengths of all the unknown...
 4.8.51: In Exercises 5154, find a model for simple harmonic motion satisfyi...
 4.8.52: In Exercises 5154, find a model for simple harmonic motion satisfyi...
 4.8.53: In Exercises 5154, find a model for simple harmonic motion satisfyi...
 4.8.54: In Exercises 5154, find a model for simple harmonic motion satisfyi...
 4.8.55: In Exercises 5558, for the simple harmonic motion described by the ...
 4.8.56: In Exercises 5558, for the simple harmonic motion described by the ...
 4.8.57: In Exercises 5558, for the simple harmonic motion described by the ...
 4.8.58: In Exercises 5558, for the simple harmonic motion described by the ...
 4.8.59: Tuning Fork A point on the end of a tuning fork moves in simple har...
 4.8.60: Wave Motion A buoy oscillates in simple harmonic motion as waves go...
 4.8.61: Oscillation of a Spring A ball that is bobbing up and down on the e...
 4.8.62: Numerical and Graphical Analysis A twometerhigh fence is 3 meters ...
 4.8.63: Numerical and Graphical Analysis The cross section of an irrigation...
 4.8.64: Data Analysis The table shows the average sales (in millions of dol...
 4.8.65: The Leaning Tower of Pisa is not vertical, but if you know the exac...
 4.8.66: For the harmonic motion of a ball bobbing up and down on the end of...
 4.8.67: Writing Is it true that N E means 24 degrees north of east? Explain. 6
 4.8.68: Writing Explain the difference between bearings used in nautical na...
 4.8.69: In Exercises 6972, write the slopeintercept form of the equation o...
 4.8.70: In Exercises 6972, write the slopeintercept form of the equation o...
 4.8.71: In Exercises 6972, write the slopeintercept form of the equation o...
 4.8.72: In Exercises 6972, write the slopeintercept form of the equation o...
Solutions for Chapter 4.8: Applications and Models
Full solutions for Precalculus  7th Edition
ISBN: 9780618643448
Solutions for Chapter 4.8: Applications and Models
Get Full SolutionsChapter 4.8: Applications and Models includes 72 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 72 problems in chapter 4.8: Applications and Models have been answered, more than 35097 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Precalculus, edition: 7. Precalculus was written by and is associated to the ISBN: 9780618643448.

Angle of elevation
The acute angle formed by the line of sight (upward) and the horizontal

Arctangent function
See Inverse tangent function.

Differentiable at x = a
ƒ'(a) exists

Direction of an arrow
The angle the arrow makes with the positive xaxis

Division algorithm for polynomials
Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

Doubleblind experiment
A blind experiment in which the researcher gathering data from the subjects is not told which subjects have received which treatment

Exponential growth function
Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

Heron’s formula
The area of ¢ABC with semiperimeter s is given by 2s1s  a21s  b21s  c2.

Initial point
See Arrow.

Linear function
A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

Normal curve
The graph of ƒ(x) = ex2/2

Origin
The number zero on a number line, or the point where the x and yaxes cross in the Cartesian coordinate system, or the point where the x, y, and zaxes cross in Cartesian threedimensional space

Quadrantal angle
An angle in standard position whose terminal side lies on an axis.

Removable discontinuity at x = a
lim x:a ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined

Secant
The function y = sec x.

Slopeintercept form (of a line)
y = mx + b

Solve graphically
Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically

Synthetic division
A procedure used to divide a polynomial by a linear factor, x  a

Transverse axis
The line segment whose endpoints are the vertices of a hyperbola.

zcoordinate
The directed distance from the xyplane to a point in space, or the third number in an ordered triple.