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5. As two boats are coming to the end of a race, a top view of their positions is
shown in the diagram below. Both boats are approaching the finish line at an
angle. At the moment shown, the left boat is a little closer to the finish line (100 m
instead of 110 m). On the other hand, the right boat has an advantage, because it
is moving more directly toward the finish line (22° instead of 20°).

5 As Two Boats Are Coming To The End Of A Race A Top View Of Their Positions Is Shown In The Diagram Below Both Boats Are Approaching The Finish Line At An Angl class=

Sagot :

michell96

The distance of the boat on the right to the finish line is 297.29 m and the distance of the boat on the left to the finish is 294.11 m, so the boat on the left will reach the finish line faster.

How do you know which boat will reach the finish line faster?

The image shows two triangles of which we know an angle and the value of the opposite leg. Therefore, we can perform a mathematical operation to know the value of the hypotenuse of these triangles, which would be the distance of the boats to the goal as shown below.

h = hypotenuse

  • Right Boat

Sen 22° =  [tex]\frac{110 m}{h}[/tex]

h = [tex]\frac{110 m}{ Sin 22}[/tex]

h = [tex]\frac{110 m}{0.37}[/tex]

h = 297,29 m

  • Left boat

Sen 20° = [tex]\frac{100}{h}[/tex]

h = [tex]\frac{|00 m}{ Sin 20}[/tex]

h = [tex]\frac{100 m}{0.34}[/tex]

h = 294,11 m

According to the above, the distance of the boat on the left is less, so it can be inferred that this boat will reach the finish line faster.

Learn more about triangles in: https://brainly.com/question/2269348

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