Math Pre Calc Mid Mui AS KDP

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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.6) other angle = 90-19=71degrees
cos19deg=adj/hyp=adj/33
.9455= adj/hyp; adj=.9455*hyp=.9455*33 =31.2015units
sin19deg=opp/hyp
.32556=opp/hyp=opp/33; 
opp=.32556*33 =10.74348units



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Notes:

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