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Chapter 1 - 1.27

27. We make the assumption that the clouds are directly overhead, so that Figure 1-3 (and the calculations

that accompany it) apply. Following the steps in Sample Problem 1-4, we have

360 ◦

24 h

which, for t =38min=38 / 60 h yields θ =9 . 5 ◦ . We obtain the altitude h from the relation

d 2 = r 2 tan 2 θ =2 rh

which is discussed in that Sample Problem, where r =6 . 37

10 6 m is the radius of the earth. Therefore,

h =8 . 9

10 4 m.