Question

Newberg is 8 kilometers due north of the airport, and summer field is 15 kilometers due east of the airport. How far apart are newberg and summberfeild

Answer 1

The correct answer is 17 kilometers.

Explanation:

Let A denote the point where the airport is located.

Newberg is located 8 kilometers due north of airport say at point B.

Summer field is located 15 kilometers due east of the airport say at point C.

Thus ABC is the required right angled triangle with sides AB = 8; AC = 15; and ∠A = 90°.

Thus we use Pythagoras theorem to find the value of the side BC which indeed would give us the distance between Newberg and Summer field.

∴
`BC = \sqrt[2]{ AC^(2) + AB^(2) }` =
`\sqrt[2]{ 15 ^(2) + 8^(2)}` =
`\sqrt[2]{289}` = 17 kilometers.

Thus the distance between Newberg and Summer field is 17 Kilometers.