Home Inst Mr. F

page 1 Notes: (Prob.1)  Other angle = 90-40= 50 degrees , Tan 50degrees= 1.1918, other leg =  1.1918*8ft =  9.5344ft   to calculate hypotenuse length: Sin40=opp/hyp=8/hyp .64278=8/hyp; hyp=8/ .6428 = 12.4456ft (Prob.2) other angle =  90-42= 48deg , tan 48deg= 1.1106 other leg =  1.1106*7in= 7.7742in .  sin42deg=opp/hyp .6691= 7/hyp; hyp=7/.6691= 10.4618in page 2 (Prob.3)other angle = 90-37.5= 52.5 degrees  cos37.5= .79335=a/h a= .79335x11m= 8.72685m (height) sin 37.5degrees = opp/hyp .60876=opp/hyp;  .60876*11=opp 6.69636m =opposite side length (Prob.4)other angle = 90-30= 60degrees cos30=adj/hyp=6.5/hyp .8660=6.5/hyp; h=6.5/.8660= 7.5058mi=hyp to find other leg: sin30degrees=.5000=opp/hyp = opp/ 7.5058; opp=.5000* 7.5058 = 3.7529mi (Prob.5) other angle = 90-27= 63 degrees Tan27= opp/adj=opp/12 .5095=opp/12; opp=12*.5095=6.1140 cos27deg=adj/hyp=12/hyp .8910=23/hyp; hyp=23/ .8910= 25.81369cm=hyp (Prob...