Please help me solve the trigo word problem here... Jack and Jill both start at point A. They each walk in a straight line at an angle of 105 degrees to each other. After 45 minutes Jack has walked 4.5 km and Jill has walked 6 km. How far apart are they?

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Answer 1 · 2018-04-17T14:09:06

they are 8.38km apart

Use the cosine rule #a^2=b^2+c^2-2bc#CosA with the angle 105 and the two sides 4.5 and 6

#=># #a^2=(4.5)^2+6^2-2xx4.5xx6xxCos(105)#

#=># #a^2=20.25+36-54Cos(105)#

#=># #a^2=70.22622844#

#=># #a=sqrt(70.22622844#

#=># #a=8.380109094#