Joe's boat leaves the harbor and heads straight for Treasure Island, which is 37 degrees North of West. Joe travels 23 km to reach the island. Moe leaves a little while later and first heads North to try and get a glimpse of some dolphins (that had earlier been sighted by her friends). Moe travels 11 km due North and reaches Nomans island. At this point she is disappointed at having seen no dolphins and heads straight for Treasure Island. What is the distance traveled by Moe from Nomans island to Treasure island?

Respuesta :

Answer:

18.95 Km

Explanation:

The distance between the Nomans island and Treasure islandwill be given by

[tex]S=\sqrt{(x_1-x_2)^{2}+(y_1-y_2)^{2}}[/tex]

Substituting -23cos37 for x1, 0 for x2, 23sin37 for y1 and 11 for y2 we obtain

[tex]S=\sqrt{(-23cos37-0)^{2}+(23sin37-11)^{2}}[/tex]

S= 18.94736

[tex]S\approx 18.95 Km[/tex]

The distance traveled by Moe from Nomans island to Treasure island is 18.95 Km

Calculation of the distance:

The distance between the Normans island and Treasure island will be provided by

[tex]= \sqrt{((x_1 - x_2)^2 + (y_1 - y_2)^2} \\\\= \sqrt{(-23cos37-0)^2+ (23sin37-11)^2}[/tex]

= 18.94736

= 18.95km

Here the above formula should be used for determining the distance so that the distance could be determined. It shows the description of how much the two things are apart in the numerical way.

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