Exam 7: Right Triangles and Vectors

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Convert 49162949^{\circ} 16^{\prime} 29^{\prime \prime} to revolutions. Keep 3 significant digits.

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Determine the value of θ\theta (in decimal degrees) given that the opposite side is 2.35 cm2.35 \mathrm{~cm} and the adjacent side is 5.25 cm5.25 \mathrm{~cm} .

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Solve the right triangle ABCA B C if A=68.2,B=90A=68.2^{\circ}, B=90^{\circ} , and c=23c=23 .

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If tanθ=1.428\tan \theta=1.428 and the adjacent side of θ\theta is 267 cm267 \mathrm{~cm} , find the length of the opposite side of θ\theta .

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Draw this vector on coordinate axes: magnitude 7.5 , angle 16.116.1^{\circ}

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Evaluate to three decimal places: 12cos6319tan2412 \cos 63^{\circ}-19 \tan 24^{\circ}

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Convert 4.71 rad to degrees (decimal).

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Express the angle of 3.6rad3.6 \mathrm{rad} in degrees, minutes, and seconds.

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