3. Point \( B \) is between points \( A \) and \( C \). The distances of \( A \) and \( C \) from point \( B \) are 1000 m and 2000 m , respectively. Measured from point \( B \), the angle of elevation of point \( C \) is \( 8^{\circ} \) 30 , while that of point \( A \) is \( \theta \). The difference in the elevations of \( A \) and \( C \) is 44.4 m , with \( C \) being lower than \( A \). Considering the effects of curvature and refraction, compute the value of \( \theta \).

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

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

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 \( \sin \theta \)

(d) Quando fazemos determinaçōes experimentais de uma grandeza \( X \), representamos seu valor numérico final acompanhado do erro \( \Delta X \) associado à medida, na forma \( X \pm \Delta X \). Para calcularmos o valor de uma funçāo \( f(X \pm \Delta X) \), utilizamos a regra \[ f(X \pm \Delta X)=f(X) \pm f^{\prime}(X) \Delta X \] Obtenha as fórmulas referentes a (i) \( \sin (X \pm \Delta X) \) e (ii) \( \cos (X \pm \Delta X) \)