cshellsrock19
Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Two ships leave whittier, Ak at 7 AM. The first ship sails towards Valdez on a 54° course at a constant rate of 36 mi/h. The second ship sails towards Knight island on a 144° course at a constant speed of 42 mi/h. Find the distance between the ships at 11 AM.

Sagot :

[tex]11AM-7AM=4h\\\\a=36\ mi/h\cdot4h=36\cdot4\ miles=144\ miles\\\\b=42\ mi/h\cdot4h=42\cdot4\ miles=168\ miles\\\\\alpha=144^o-54^o=90^o\\\\x^2=144^2+168^2-2\cdot144\cdot168\cdot cos90^o\\\\x^2=20736+28224-2\cdot144\cdot168\cdot0\\\\x^2=48960\\\\x=\sqrt{48960}\\\\x\approx221.27\ (miles)[/tex]

[tex]or\ Pythagoras\ theorem:\\\\x^2=144^2+168^2\\\\x\approx\ 221.27\ (miles)\\\\\\Answer:221.27\ miles.[/tex]
View image Аноним
kate200468
[tex]t=11-7=4\ [h]\ \ \ \wedge\ \ \ S=V\cdot t\\ \\S_1=V_1\cdot 4=36 \cdot 4=144\ [mi]\ \ \ and\ \ \ S_2=V_2\cdot4=42 \cdot 4=168\ [mi]\\ \\x^2=(S_1)^2+(S_2)^2 \ \ \ \Rightarrow\ \ \ x^2=144^2+168^2\ \ \ \Rightarrow\ \ \ x^2=48960\\ \\x\approx221.3\ [mi]\\ \\Ans.\ The\ distance\ between\ the\ ships\ at\ 11\ AM\ is\ 221.3\ mi[/tex]
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.