ekutsu
Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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 :

mhanifa

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
We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.