logo88
Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

two cars leave an intersection at the same time, one travelling at 70km/h along one road and the other car travelling at 80km/h along the other road. After 2 hours they are 218 km apart. At what angle, to the nearest minute, do the roads meet at the intersection.


Sagot :

[tex]v_1=70\ km/h\\v_2=80\ km/h\\t=2h\\\\v=\frac{s}{t}\to s=vt\\\\s_1=70\ km/h\cdot2h=140\ km\\s_2=80\ km/h\cdot2h=160\ km\\\\look\ at\ the\ picture[/tex]


[tex]218^2=140^2+160^2-2\cdot140\cdot160\cdot cos\alpha\\\\47524=19600+25600-44800cos\alpha\\\\47524=45200-44800cos\alpha\\\\44800cos\alpha=45200-47524\\\\44800cos\alpha=-2324\ \ \ \ /:44800\\\\cos\alpha\approx-0.051875\Rightarrow\alpha\approx92^o58'[/tex]
View image Аноним