Exam 15: Oblique Triangles and Vectors

Solve the oblique triangle $A B C$ if $B=80.9^{\circ}, b=84.0$ , and $a=57.0$ .

(Short Answer)

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Question 81

In which quadrant will the terminal side of $\theta$ lie if $\theta=192^{\circ}$ ?

(Short Answer)

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Question 82

Fill in the missing parts of this table for triangle $A B C$ .

(Short Answer)

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Question 83

Write the sine, cosine, and tangent of $\theta$ , where $\cot \theta=-4 / 5$ and $\theta$ is not in the second quadrant. Leave your answers in fractional or radical form.

(Essay)

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Question 84

Two forces of $62 \mathrm{~kg}$ and $112 \mathrm{~kg}$ act on an object with an angle of $54^{\circ}$ between their lines of action. Find the magnitude of their resultant and its direction with respect to the larger force.

(Short Answer)

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Question 85

Calculate the resultant of $10.5 / \underline{58^{\circ}}, 36.1 / \underline{79^{\circ}}$ , and $14.7 / \underline{12^{\circ}}$ .

(Short Answer)

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Question 86

Give the algebraic signs of the sine, cosine, and tangent of $315^{\circ}$ .

(Essay)

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Question 87

Solve the oblique triangle $A B C$ if $a=5.5, b=2.7$ , and $C=33^{\circ} 40^{\prime}$ .

(Short Answer)

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Question 88

A triangular lot measures $175 \mathrm{~m}, 160 \mathrm{~m}$ , and $200 \mathrm{~m}$ along its sides. Find the angles between the sides to the nearest second.

(Short Answer)

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Question 89

Showing 81 - 89 of 89

Exam 15: Oblique Triangles and Vectors

Solve the oblique triangle ABCA B CABC if B=80.9∘,b=84.0B=80.9^{\circ}, b=84.0B=80.9∘,b=84.0 , and a=57.0a=57.0a=57.0 .

In which quadrant will the terminal side of θ\thetaθ lie if θ=192∘\theta=192^{\circ}θ=192∘ ?

Fill in the missing parts of this table for triangle ABCA B CABC .

Write the sine, cosine, and tangent of θ\thetaθ , where cot⁡θ=−4/5\cot \theta=-4 / 5cotθ=−4/5 and θ\thetaθ is not in the second quadrant. Leave your answers in fractional or radical form.

Two forces of 62 kg62 \mathrm{~kg}62 kg and 112 kg112 \mathrm{~kg}112 kg act on an object with an angle of 54∘54^{\circ}54∘ between their lines of action. Find the magnitude of their resultant and its direction with respect to the larger force.

Calculate the resultant of 10.5/58∘‾,36.1/79∘‾10.5 / \underline{58^{\circ}}, 36.1 / \underline{79^{\circ}}10.5/58∘​,36.1/79∘​ , and 14.7/12∘‾14.7 / \underline{12^{\circ}}14.7/12∘​ .

Give the algebraic signs of the sine, cosine, and tangent of 315∘315^{\circ}315∘ .

Solve the oblique triangle ABCA B CABC if a=5.5,b=2.7a=5.5, b=2.7a=5.5,b=2.7 , and C=33∘40′C=33^{\circ} 40^{\prime}C=33∘40′ .

A triangular lot measures 175 m,160 m175 \mathrm{~m}, 160 \mathrm{~m}175 m,160 m , and 200 m200 \mathrm{~m}200 m along its sides. Find the angles between the sides to the nearest second.

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Solve the oblique triangle $A B C$ if $B=80.9^{\circ}, b=84.0$ , and $a=57.0$ .

In which quadrant will the terminal side of $\theta$ lie if $\theta=192^{\circ}$ ?

Fill in the missing parts of this table for triangle $A B C$ .

Write the sine, cosine, and tangent of $\theta$ , where $\cot \theta=-4 / 5$ and $\theta$ is not in the second quadrant. Leave your answers in fractional or radical form.

Two forces of $62 \mathrm{~kg}$ and $112 \mathrm{~kg}$ act on an object with an angle of $54^{\circ}$ between their lines of action. Find the magnitude of their resultant and its direction with respect to the larger force.

Calculate the resultant of $10.5 / \underline{58^{\circ}}, 36.1 / \underline{79^{\circ}}$ , and $14.7 / \underline{12^{\circ}}$ .

Give the algebraic signs of the sine, cosine, and tangent of $315^{\circ}$ .

Solve the oblique triangle $A B C$ if $a=5.5, b=2.7$ , and $C=33^{\circ} 40^{\prime}$ .

A triangular lot measures $175 \mathrm{~m}, 160 \mathrm{~m}$ , and $200 \mathrm{~m}$ along its sides. Find the angles between the sides to the nearest second.