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Lorelei needs to find the distance across a lake. She locates two points on opposite sides of the lake, then walks a straight line from each point to a spot south of the lake. The path on one side is 444 feet long, while the other path is 552 feet long. The two paths meet at an angle of 68 degrees. find the distance across the lake to the nearest foot.

Sagot :

Mhanifaidn

Answer:

  • 564 ft

Step-by-step explanation:

We have two sides of the triangle and the included angle and we need to find the missing side.

Use the law of cosines:

  • [tex]c = \sqrt{a^2+b^2-2ab*cos C}[/tex]
  • [tex]c = \sqrt{444^2+552^2-2*444*552*cos (68)}[/tex] ≈ 564 ft
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