Answer
(a) $29,000\ ft$.
(b) $shorter$
Work Step by Step
(a) Use the figure given in the exercise, the height (in feet, $1\ mi=5280\ ft$) of Mt. Everest can be found as $H=14,545+27.0134(5280)sin5.82^\circ\approx29,000\ ft$.
(b) As the curvature of the Earth forms a concave downward, the peak will appear $shorter$ than it actually is.
