Question: Can someone explain to me how these got these angles for A,B, and C Table 0: Triangle Data Collection Triangle a (m) b (m) c










Can someone explain to me how these got these angles for A,B, and C Table 0: Triangle Data Collection Triangle a (m) b (m) c (m) Angle A Angle B Angle C 1 1.22 1.32 2.03 40 33.50 106.40 2 2.17 0.76 2.0 650 250 90Background Describing the kinematics of an object in 2-dimensions often requires mathematics such as trigonometry. This lab is a review of some of the common relationships with triangles. Consider the following Triangle. The letters A, B, C represent the interior angles of a triangle (shown below}, and letters, a, b, c represent their corresponding side. k _:I x A I F! L Raminbrahim, "Triangle ABC with Sides 3 b c 2. png", [Public Domain viaiMkimedia Commons] The following identities have been found to be true for any plain triangle. Law of Sines: sin\") sin(B) sin(C) a b c Image by Robert Franz, Created for ECCOnline, 2018 Law of Cosines: Law of Tangents: a-b tan -B a+b tan Image by Robert Franz, Created for CCCOnline, 2018 Instructions In the lab, we are going to going to create two triangles with string inside of a doorway (shown in the figure below). We are going to use these triangles to verify the Trigonometric relationships shown above. B C C A Image by Robert Franz, Created for CCCOnline, 2018a? = b2 + c2 - 2 b c cos(A) b2 = a2 + c2 - 2 a c cos(B) c2 = a2 + b2 - 2 a b cos(C) Image by Robert Franz, Created for CCCOnline, 2018To find out the angles The best way to find out the angle, is to rearrange the Formula Fay easA 2 bc casA = 62 +c 2 - 92 eesA = 62 +c 2 - 92 2bc A = eag's 62 + ( 2 - a2 ? 26 c Let's assume that the unknown angle A is x. we already have three sides of triangle where a = 50 b = 66. & C = 55 Therefore it is a matter of plugging the values into the equation to Find out 'x
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