Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Tonya leaves home on her motorcycle and travels 12 miles east and 7 miles north. How far in Tonya from her original starting point?

Tonya Leaves Home On Her Motorcycle And Travels 12 Miles East And 7 Miles North How Far In Tonya From Her Original Starting Point class=

Sagot :

The distance is 13.892 miles.

Given:

Distance travelled in east is 12 miles.

Distance travelled in north is 7 miles.

The objective is to find how far is tonya from the starting point.

The distance between starting point and ending point can be calculated using Pythagorean theorem.

Consider the given figure as,

By applying Pythagorean theorem,

[tex]AC^2=AB^2+BC^2[/tex]

Now, substitute the given values in the above formula.

[tex]\begin{gathered} x^2=12^2+7^2 \\ x^2=144+49 \\ x^2=193 \\ x=\sqrt[]{193} \\ x=13.892 \end{gathered}[/tex]

View image MarshaeL484293