Labels:text | screenshot | font | document OCR: c. Discuss the manner in which the fraction Az/Ae varies with the altitude h. Solution: Intuition suggests that as h increases, the value of A2/Ae should vary from zero to 1/2. On the surface of Earth, the fraction is zero. As h increases, so does the fraction, and yet it must always be less than 1/2 ; that is, one cannot hope to view more than a hemisphere at any one time. A little algebra bears this out. A h = 2(r + h) is certainly zero when h = 0. Az 1 Observe that Ae 2 (- +1) As h increases, the denominator of the right-hand side decreases, which forces the entire fraction Az/Ap to increase. Furthermore, as h- co, r/h->0, and consequently AzlAe approaches 1/[2(1+ 0)] = 1/2. (Continued on next card.)
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