A boat heading out to sea starts out at Point \( A \), at a horizontal distance of 1433 feet from a lighthouse/the shore. From that point, the boat's crew measures the angle of elevation to the lighthouse's beacon-light from that point to be \( 15^{\circ} \). At some later time, the crew measures the angle of elevation from point \( B \) to be \( 6^{\circ} \). Find the distance from point \( A \) to point \( B \). Round your answer to the nearest tenth of a foot if necessary.

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

3- Sabendo que \( \operatorname{cotag} 40^{\circ}=1,1918 \) e \( \cos 43^{\circ}=0,7314 \), determine. a) \( \operatorname{Cotag} 320^{\circ}= \) b) \( \cos 223^{\circ}= \)

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

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

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