Given \( B=45^{\circ}, C=75^{\circ} \), and \( a=6 \), use the Law of Sines (if applicable) to find the exact value of \( b \) in triangle \( A B C \).

i) \( \frac{\tan \theta \cot \theta}{\sec \theta} \) equals: A \( \sin \theta \)

\( \left(\sec 79.36^{\circ}\right)\left(\sin 79.36^{\circ}\right)-\left(\tan 79.36^{\circ}\right)=\underline{\text { Blank } 1} \)

\( \csc 82.4^{\circ}= \) Blank 1 Express your answer in 3 decimal points.

A pylon \( \$ \$ 23.7 \$ \$ \mathrm{~m} \) high casts a shadow \( \$ \$ 46.8 \$ \$ \mathrm{~m} \) long. Determine the angle of elevation of the sun to the nearest tenth of a degree. 23.7 m high casts a shadow 46.8 m long. Determine the angle of elevation of the sun to the nearest tenth of a degree. Show answer

\( r = \tan \theta \sec \theta \)