(Solved): The altitude of a mountain peak is measured as shown in the figure to the right. At an altitude of ...

The altitude of a mountain peak is measured as shown in the figure to the right. At an altitude of 14,511 feet on a different mountain, the straight-line distance to the peak of Mountain A is \( 27.8455 \) miles and the peak's angle of elevation is \( \theta=5.3500^{\circ} \) (a) Approximate the height (in feet) of Mountain A. (b) In the actual measurement, Mountain A was over 100 mi away and the curvature of Earth had to be taken into account. Would the curvature of Earth make the peak appear taller or shorter than it actually is? (a) The height of Mountain A is approximately feet. (Do not round until the final answer. Then round to the nearest foot as needed.) (b) The peak would appear than it actually is.