Question

Problem 1:A shoreline observation post is located on a cliff such that the observer is 310 feet above sea level. When initially spotted, the angle of depression (the angle at which an observer needs to look down) from the observation post to an approaching ship was 4.8 Draw a diagram of the situation and label each known and unknown quantity measure a) b) How far out to sea was the ship when it was first spotted? After watching the ship for 47 seconds, the angel of depression was 5.9. Assuming the ship was moving at a constant rate, estimate the ship's velocity. c) d) If the ship were to continue on its course at the same velocity, how much time from the second reading will elapse before the ship crashes into the shore?

Answer 1

(Ques) (obserur) Sol 4.85.9 310peut 5.9 52 S,(Ship) AZ X2 oBhip Let the initial distance Brem the shore ship poted the distance the uas And when time , Let Bor 2 prem the me serend &hore be Mew, tam4.8) = OA ASI 310 310 3 10 3691.691 tam (4.8) 0 0839 X1 3691691 oA AS2 310 tan(5.9) X2 310 2999. 807 X2 = - tom (5.99) 2 2999 807
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Distance f shup rom (b) whin it the shore Birst spoted x was 3691-691 fet ( ume takn yship to s rem St ho S247 sevends Distamce 3,-S2 S1-S2691.284 feet ame 3691-691-2999 207 47 see Speeds Dis Famee Time 691 824 Si-52 47 Times Speed 14.7209 Bet /sec (let the time takun y shup be t to sail brem S2 to A Distamce 202 =2999 807 pis tamce Tame 2999 807 Speed 4.7209 ti= 203.77 sevends Time to rash mto shoru em secend readine 203.77 8ec.

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