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Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Question
Chapter 78, Problem 15A
To determine
(a)
To compute the angle of rotation
To determine
(b)
To compute the angle
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Students have asked these similar questions
A lifeguard is sitting on a platform. His eye level is 5 m above sea level. Martha and Sammy are swimming in the sea and Martha is 50 m away from the base of the platform. The angle of depression of Martha and Sammy from the lifeguard differs by 2°. What is the distance between Martha and Sammy?
Jo drops a marble from her apartment window, 20 meters above the ground. At the same height but
12 meters away, Doe watches the marble fall. When the height of the marble above the ground is h,
let 0 be the angle between L and M, where L is the horizontal line joining Jo and Doe, and where
M represents Doe's line of sight to the marble.
(a) Draw a picture of the scene, including L, M, and 0. Put the horizontal axis at ground level,
and indicate the position of the marble h(t) meters above ground level at time t.
(b) Find 0 in terms of h, and then calculate d0/dh.
(c) Assume that h(t) = 20– 4.9t² until the marble hits the ground. Find de/dt. Show geometrically
why de/dt > 0, and then tell why the formula for de/dt tells us that in fact d0/dt > 0.
Note: It turns out that there is a value to for which de/dt has a maximum value. For 0(to) the
marble appears to be falling the fastest. Can you find the value of to?
Determine the remaining parts of the following triangle(s):
6. a = 17, c= 34, A = 30°
%3D
%3D
%3D
Chapter 78 Solutions
Mathematics For Machine Technology
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Similar questions
- In each of the following exercises, three views of a part are shown. The angular surfaces are to be machined in reference to the horizontal plane at A and B as shown in the front and right side views. Compute the required angles using these formulas: tanR=tanAtanB cotC=cot2A+cot2B Given: A=31.60 C=28.00 a. Compute B. b. Compute R . Use this figure for Exercises 15, 16, and 17.arrow_forwardIn each of the following exercises, the top, front, and right side views of a compound-angular surface are shown. Compute the required angles using these formulas: tanR=tanBtanA tanT=tanAcosR Given: B=1800 R=2200 a. Compute A. b. Compute T. Use this figure for Exercises 18, 19, and 20.arrow_forwardVerify that (sinA)² + (cosA)2 = 1 for the angle measure. mZA = 45° %3D 2 2 2.arrow_forward
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