p04 074

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74.

(a) The tangent of the angle φ is found from the ratio of y to x coordinates of the highest point (taking

the coordinate origin to be at the launch point). Using the same notation as in problem 73, we
have

φ = tan

1



H

1
2

R



tan

1



2

H

R



.

Substituting H/R =

1
4

tan θ

0

from problem 73, we obtain the relation

tan

1



1

2

tan θ

0



.

(b) Since tan 45

= 1, then φ = tan

1



1
2



= 2 7

.


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