Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Discover in-depth answers to your questions from a wide network of experts on our user-friendly Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

From his home, glenn travels 3 miles east, 4 miles north, 6 miles east, and then 8 miles north before finally reaching his destination. Assuming his entire trip occurred on a single flat plane, how many miles in a direct line is glenn's home from his destination?

Sagot :

iloveonedirection
In order to solve this, you need a diagram.

From this diagram, you can set up an expression.
Let's say the total distance is represented by the variable T.

[tex]T=x+y[/tex]

To solve for x and y, you need to do the Pythagorean Theorem.

[tex]x^2=3^2+4^2 \\ x^2=9+16 \\ x^2=25 \\ \sqrt{ x^2} = \sqrt{25} \\ x=5 \\ \\ y^2=6^2+8^2 \\ y^2=36+64 \\ y^2=100 \\ \sqrt{ y^2} = \sqrt{100} \\ y=10[/tex]

Now plug these values back into the expression and you will have your final answer.

[tex]T=(5)+(10) \\ T=15 \\ \\ 15_{miles}[/tex]
View image iloveonedirection
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.