Math  /  Geometry

Question3. A tresuard at poettion L spots a swimmer lif troubic it one copner of the pool, S . She runs Bcen the lengen of the pool to poeltion P, and then dives in and swimt a distance d from P to S. a) Show thent the swiming distanco is siven by the relation d=wsecx.[/2k/U]d=w \sec x . \quad[-/ 2 \mathrm{k} / \mathrm{U}] b) Iy=2wI y=2 w, determine the range of values that xx may take on given that PP can be anywhere along the length of the pool.
L \qquad /3 APP1 c) Determine the range of values that dd may take on. (1)2APP)(1) 2 \mathrm{APP})

Studdy Solution
To determine the range of values for d d , we use the expression d=wsecx d = w \sec x . As x x varies from 0 0 to π2 \frac{\pi}{2} , the value of secx \sec x varies from 1 1 to \infty . Therefore, the range of d d is from w w to \infty .
The range of values that d d may take on is from w w to \infty .

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