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Attached Problems. Create a column vector that has the following elements: 25.5,

ID: 3644902 • Letter: A

Question

Attached Problems.

Create a column vector that has the following elements: 25.5, (14 tan 58 degree)/(2.12 + 11), 6!, 2.74, 0.0375, and pi/5. In the triangle shown a = 5 in., b = 7 in., and y = 25 degree. Define a, b, and y as variables, and then: Calculate the length of c by substituting the variables in the Law of Cosines. (Law of Cosines: c2 = a2 + b2 - 2ab cos y) Calculate the angles a and beta (in degrees) using the Law of Sines. Verify the Law of Tangents by substituting the results from part (b) into the right and left sides of the equation. (Law of Tangents: a - b/a + b = tan[1/2(alpha - beta)]/tan[1/2(alpha + beta)]

Explanation / Answer

theta=58*pi/180; a=[25.5;14*tan(theta)/(2.1*2.1+11);6*5*4*3*2;2.7^4;0.0375;pi/5]; %calculation of c b=5*5+7*7-2*5*7*cos(25*pi/180); c=sqrt(b) %calcualation of angle alpha e=5*sin(25*pi/180)/c; alpha=(asin(e))*180/pi %calcualation of angle beta f=7*sin(25*pi/180)/c; beta=(asin(f))*180/pi