Question

Two boats leave the same marina. One heads north, and the other heads east. After some time, the northbound boat has travelled 16 m, and the eastbound boat has travelled 12 m. How far apart are the two boats?

Answer 1

Answer:

20m

Explanation:

Let's consider, $\rm B_1$(first boat) goes to north and covers 16m after some time. And, $\rm B_2$(second boat) goes to east covers 12m by the same time.

We've to find how far apart the two boats now?

[See the figure]

Using Pythagoras theorem,

$\rm \implies \: {(d)}^{2} = {(16)}^{2} + {(12)}^{2}$

$\rm \implies \: {(d)}^{2} = 256 + 144$

$\rm \implies \: {d} = \sqrt{400}$

$\rm \implies \: {d} = 20$

∴ The two boats are 20m apart.

___________________________

Answer 2

Answer:

Answer:

20m

Explanation:

Let's consider, (first boat) goes to north and covers 16m after some time. And, (second boat) goes to east covers 12m by the same time.

We've to find how far apart the two boats now?

[See the figure]

Using Pythagoras theorem,

∴ The two boats are 20m apart.

hope this helped:)