You are taking a weather balloon ride. When the balloon is \( 900 m \) in the air, you see a lake at \( S 38 ^ { \circ } E \) with an angle of depression of \( 28 ^ { \circ } \) . You rise another \( 100 m \) and see a school at \( S 71 ^ { \circ } W \) with an angle of depression of \( 19 ^ { \circ } \) . How far from the lake is the school?

\( \operatorname { coti } x + \operatorname { cosec } x = 11 \)

tan \( 0.8035=\underline{\text { Blank } 1} \) (Express your answer in 3 decimal points) Blank 1 Add your Thnswer

\( \csc 82.4^{\circ}= \) 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

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