Bob By the Sea

Bob By the Sea
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  • John is a lighthouse manager, he needs to find out how tall the lighthouse is. He is standing 80 feet away looking at the lighthouse at an angle of 45°. He knows that 80 x cos(45) = 56. So the lighthouse is 56 feet tall.
  • One part of Johns job is that he needs to know how far away boats are from the lighthouses.  He knows that the lighthouse is 56 feet tall and at a 55° angle. Therefore he knows that 56/tan(55) = 39. So that means that the boat is 39 feet away.
  • John had just noticed a plane wreak, He knows that he is 56 feet tall and that the plane is 160 feet away he needs to find the angle which it is at.
  • So he does tan^-1 160/56 = 70. So that means that the angle is 70 degrees
  • John then called in and reported where the wreck was located and went to go help the passengers.
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