RollOut
Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

One route along flat terrain from Hermansville to Melville is to drive straight north from Hermansville for 120 miles to Jamestown, then, at Jamestown, to drive straight west for 80 miles to Melville. If a straight,flat road existed between Hermansville and Melville,approximately how many miles long would it be?

Sagot :

stradlater
approx. 144 mileswe can find this length by use of pythagorean's threorom. we use it because there's a 90 degree angle in the triangle, first we go due north, then turn due west.

[tex] a^{2} [/tex] + [tex] b^{2} [/tex] = [tex] c^{2} [/tex] , where a & b and the lines attached to the right angle, and c is the hypotenuse, also the length we're looking for.

[tex] 120^{2} [/tex] + [tex] 80^{2} [/tex] = [tex] c^{2} [/tex]
14400 + 6400 = [tex] c^{2} [/tex]
20800 = [tex] c^{2} [/tex]
c = [tex] \sqrt{20800} [/tex] ≈ 144.2
smartangel
Approximately 144 miles. You have to use the pythagorean theorem. a^2+b^2=c^2.
120 and 80 will be the legs, a and b. 120^2 + 80^2 = c^2. 14400 + 6400 = 20800. Remember, c is squared, so to find the answer, you need to find the square root of 20800, which is 144.222051019. Therefore, c, the road between Hermansville and Melville, would be approximately 144 miles.
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.