Question

*Approximate the angle of elevation of the sun if a box 5 meters tall casts a shadow 4 meters long on level ground. *As a weather ballon rises vertically its angle of elevation from a point P on the level ground 110km.from the point Q directly underneath the ballon changes from 19degrees 20 minutes to 31 degrees 50 minutes.Approximate how far does the ballon rises during the period.
No spherical trig here. The balloon problem might have qualified, but it says "level ground."

(a) tanθ = 5/4
(b) review your tangent function. If the balloon travels a distance d, then

d = 110 tan31°50' - 110 tan19°20'

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