Explanation Let the distance between P and C be “y” Calculation: Consider ΔBCP tan α = h y y = h tan α ................... (i) Consider ΔBCQ tan α = h ( x + y ) h = ( x + y ) ⋅ tan β Put y value from equation (i) in above equation h = ( x + h tan α ) ⋅ tan β simplify the above

Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)

6th Edition

ISBN: 9781524908102

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Chapter 1.5, Problem 54PS

To determine

To find : Height of the building in terms of x .

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Chapter 1.5, Problem 53PS

Chapter 1.5, Problem 55PS

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Justin boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for several rotations. The Ferris wheel has a radius of 10 meters, and when Justin boards the Ferris wheel he is 16 meters above the ground. Imagine an angle with its vertex at the center of the Ferris wheel that subtends the path Justin travels. a. Define a function f that expresses Justin's horizontal distance to the right of the center of the Ferris wheel (in meters) in terms of the number of radians 0 the angle has swept out since the ride started. f(8) = Preview b. Define a function g that expresses Justin's distance above the ground (in meters) in terms of the number of radians 0 the angle has swept out since the ride started. g(0) = Preview

State the domain of the function shown.

B a A b Note: Triangle may not be drawn to scale. Also, the letters "A" and "B" represent angles; the small letters "a", "b" and "c" represent lengths of the triangle sides. Suppose a = 132 and b = 85 and c = 157. Use the definition of the trig functions below (Tip: You might find it helpful to redraw the triangle, replacing the letters with the numbers given.) to find each correct fraction. sin(A) = cos(A) = tan(A) = sec(A) = %3D csc(A) = cot(A) =

Chapter 1 Solutions

Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)

Ch. 1.1 - Prob. 1PS Ch. 1.1 - Prob. 2PS Ch. 1.1 - Prob. 3PS Ch. 1.1 - Prob. 4PS Ch. 1.1 - Prob. 5PS Ch. 1.1 - Prob. 6PS Ch. 1.1 - Prob. 7PS Ch. 1.1 - Prob. 8PS Ch. 1.1 - Prob. 9PS Ch. 1.1 - Prob. 10PS

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Height of the building in terms of x .

Solution Summary: The author explains how to find the height of the building in terms of x. Let the distance between P and C be "y"

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Chapter 1 Solutions