a) \( \frac{\operatorname{cotg}^{2} x}{1+\operatorname{cotg}^{2} x}=\cos ^{2} x \)

- Convertir \( 45.3245^{\circ} \) a grados minutos y segundos

The angle of elevation of the Sun is \( 33.1^{\circ} \) at the instant the shadow cast by a monument is 720 feet long. Use this information to calculate the height of the monument. The height of the monument is \( \square \mathrm{ft} \). (Round to two decimal places as needed.)

4. Solve \( \sin 2 x=\cos x-\cos 2 x \) algebraically. Give your answer as a general solution, in degrees.

A funicular carries passengers up an embankment to an observation point. If the length of the track is 67.8 meters and the angle of inclination is \( 39^{\circ} 4^{\prime} \), determine the height of the embankment. The embankment is \( \square \) meters high. (Round to two decimal places as needed.)

A tower that is 102 feet tall casts a shadow 117 feet long. Find the angle of elevation of the sun to the nearest degree. The angle of elevation is \( \square \) degrees. (Round to the nearest degree.)