Question

A boat sails 12 km towards south then 35 km towards west. Find the distance between the initial and final point.
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Answer 1

Answer:

The answer is 37 km

Step-by-step explanation:

Use the Pythagorean Theorem to solve this question.

a² + b² = c² where c is what you're trying to solve

Plug in your knowns into your equation.

12² + 35² = c²

144 + 1225 = c²

1369 = c²

c = √1369

c = 37

Answer 2

From the attached figure, we conclude that we need to find AC in ∆ABC which is right angled at B.

By the Pythagoras Theorem, we write:

AB² + BC² = AC²

→ 12² + 35² = AC²

→ 144 + 1225 = AC²

→ √1369 = AC

→ AC = 37 km