Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

An ant travels 2.78 cm (West) and then turns and travels 6.25 cm (South 40 degrees East). What is the ant's total displacement?

Sagot :

luana
[tex]From\ cosine\ theorem:\\\\ c^2=a^2+b^2-2abcos(\angle between\ a\ and\ b)\\\\ a=2,78\\b=6,25\\ \angle between\ a\ and\ b=90+50=140^{\circ}\\\\ c^2=2,78^2+6,25^2-2*2,78*6,25cos(140^{\circ})\\\\ c^2=7,7284+39,0625-34,75*(-0,77)\\\\c^2=46,7909+26,7575\\\\c^2=735484\\\\c=8,58cm\\\\Total\ displacement\ is\ equal\ to\ 8,58cm.[/tex]
View image luana
View image luana
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.