Question

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D Question 13 Glve the rectangular coordinates for the point. (2-3) 124) 344)

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Answer 1

is located irl distance negalin value ofr implies that point deway from origin in a direction opposite to the dinction specified by given angle Gimen angle is -17 er "be clockevie wim poslom axed for tre x-axis). Disition opport to this is by adding to to it, ic terminal sich f obland = -17 +0 31-I = 25 ala 3 3 ie 211 counter clockade with polor axis. Henue our poort is locokd 3 units ansey from origin along terminat sich of me oogle af (countestlockovanie with polar axis). Thew, in standard notation The gron pomis (-3, -TK) is \(-3, 11/3) = (3, 2013) (3,2173). Therefore the castesian Coordinate an given by a X: Cosa = 3 Cos (2013) any y = x Sn&= 35in (20/3) = 313 2 H 40 3,11) an: (2,33) (ophen #2) tenu cortesian coordinale

Az 79', a=3lyd С From the figure anel B2 63 yd. Ar angle and two consecutive side are giron: we dee b= 63yd that the minimum value 'a' must be equal to the length g perpendicular CD. je a > CD. a = 31 yd B'D B when a = CD, When a > CD we have one solution (one possible a) there an Two poulle solutions (two os - SABC, ABC) there is no sclusion is, triangle with given specifications exist When a < CD CD Sin 79° AC Now from SADC righé orgled CD: AC Sin79" : 63 Sin 799 yd CD = 61.8425 yd Since, zx 2 = 31 yd is smaller than CD (ir. Q<CD) there is no solution. So The answer to : oplin #3 such triangle A 31 Alternatinly by law of sinesi Sin B SinA SinB = b SinA = 63 Sinza SinB = 1.9949 which is componibili become - 1 c Sinocl, thence, no seuh a exists,