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Problem 31

\(31-36\) me measures of two angles in standard position are given. Determine whether the angles are coterminal. $$ 70^{\circ}, 430^{\circ} $$

Problem 32

\(31-36\) me measures of two angles in standard position are given. Determine whether the angles are coterminal. $$ -30^{\circ}, \quad 330^{\circ} $$

Problem 32

9–32 Find the exact value of the trigonometric function. $$\sin \frac{11 \pi}{6}$$

Problem 33

\(31-36\) me measures of two angles in standard position are given. Determine whether the angles are coterminal. $$ \frac{5 \pi}{6}, \frac{17 \pi}{6} $$

Problem 33

33–36 Find the quadrant in which \(\theta\) lies from the information given. \(\sin \theta<0 \quad\) and \(\quad \cos \theta<0\)

Problem 34

33–36 Find the quadrant in which \(\theta\) lies from the information given. \(\tan \theta<0 \quad\) and \(\quad \sin \theta<0\)

Problem 34

Distance Across a Lake Points \(A\) and \(B\) are separated by a lake. To find the distance between them, a surveyor locates a point \(C\) on land such that \(\angle C A B=48.6^{\circ} .\) He also measures \(C A\) as 312 \(\mathrm{ft}\) and \(C B\) as 527 ft. Find the distance between \(A\) and \(B\)

Problem 34

\(31-36\) me measures of two angles in standard position are given. Determine whether the angles are coterminal. $$ \frac{32 \pi}{3}, \frac{11 \pi}{3} $$

Problem 35

33–36 Find the quadrant in which \(\theta\) lies from the information given. \(\sec \theta>0 \quad\) and \(\quad \tan \theta<0\)

Problem 35

The Leaning Tower of Pisa The bell tower of the cathedral in Pisa, Italy, leans \(5.6^{\circ}\) from the vertical. A tourist stands 105 \(\mathrm{m}\) from its base, with the tower leaning directly toward her. She measures the angle of elevation to the top of the tower to be \(29.2^{\circ} .\) Find the length of the tower to the nearest meter.

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