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Answer 1 · 2018-02-02T03:30:50

(a) #AD = color(green)(9.8) # cm

(b) #/_(CAD) = color(purple)(22.2^0)#

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Given : AB = 4.7 cm, BC = 7.3 cm, /(BAD) = 58^0, /(CAD) = 90^0#

Let BE is perpendicular to AB and E stands on AD.

#AD = AE + ED = AE + BC#

Also #BE = CD# as BE // BC, BC // AD#

Given : AB = 4.7 cm, BC = 7.3 cm, /(BAD) = 58^0, /(CAD) = 90^0#

#BE = CD = AB sin (BAD) = 4.7 * sin (58) ~~ 4 cm#

#AE = AB cos (BAD) = 4.7 * cos (58) ~~ 2.5#

(a) #AD = AE + DE = 2.5 + 7.5 = color(green)(9.8) # cm

(b) #/_(ACB) = /_(CAD)#

#tan /_(CAD) = _(ACB) = (CD) / (AD) = 4 / 9.8 = 0.4082#

#/_(CAD) = /_(ACB) = tan^-1(0.4082) = color(purple)(22.2^0)#