98 Problems ofCASE XXII.

The greatest Randon on the Planeof the Horizon being SooOjQuere theDirection to strike the greatest Heightpolhble on the Perpendicular Y X y(Fig. 11.) whole horizontal Distanceis HY = 7143.

Find Y X, that greatest Height bythe last Cafe, then XX : AY ::R:T,/IX Y= 7 ;8 3 °. 31 '=X,XAZ, and 90°.-\XAZ~ 48°. ij 7 , the Direction re-

CASE XXIII.

A Piece whole horizontal Randonat the Elevation X Al =■ 64°. oz (Fig.19.) is Am =16060, Quere her Ran-don at the lame Elevation on the PlaneA X, whose Ascent is Y A X~ 6°. 3 oh

T,Y AI-T,Y AX=T,Af»X=T,

6 2 0 . 44', (Cor. 1. Theo. 13.) whence

Y AX