Solve the triangle. \( \mathrm{a}=8, \mathrm{c}=5, \mathrm{~B}=90^{\circ} \) \( \mathrm{b}=\square \) (Do not round until the final answer. Then round to the nearest tenth as needed.) \( \mathrm{C}=\square^{\circ} \) (Do not round until the final answer. Then round to the nearest degree as needed.) \( \mathrm{A}=\square^{\circ} \) (Do not round until the final answer. Then round to the nearest degree as needed.)

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

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

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

(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) \( \cos (X \pm \Delta X) \)