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End

A cruise ship is 1480 feet from a light house off a Caribbean Island.
If the angle of elevation from the cruise ship to the top of the light
house is 4º, what is the height of the lighthouse? Round to the
nearest whole foot.

End A cruise ship is 1480 feet from a light house off a Caribbean Island. If the angle-example-1
User Taksofan
by
3.4k points

1 Answer

11 votes

Answer:

104 feet

Explanation:

  • To get the height of the lighthouse, we need to take the sine function of the angle
  • sin4° = 0.07
  • sin4° = h/1480
  • ⇒ h/1480 = 0.07
  • ⇒ h = 1480 x 0.07
  • ⇒ h = 103.6
  • ⇒ h = 104 feet
User Remi Thomas
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4.1k points