SOLUTION: A lighthouse is observed by a ship’s office on watch at an angle of 42 degree to the path of the ship. At the next sighting the lighthouse is observed at an angle of 90 degree to
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Question 433289: A lighthouse is observed by a ship’s office on watch at an angle of 42 degree to the path of the ship. At the next sighting the lighthouse is observed at an angle of 90 degree to the path of the ship. The distance travel between sightings is 1800 m .To the nearest meter, how far away is the ship to the lighthouse at this second sighting?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A lighthouse is observed by a ship’s office on watch at an angle of 42 degree to the path of the ship.
At the next sighting the lighthouse is observed at an angle of 90 degree to the path of the ship.
The distance travel between sightings is 1800 m .
To the nearest meter, how far away is the ship to the lighthouse at this second sighting?
:
This situation, forms a right triangle, we can use the tangent of 42 degrees
where
side adjacent = 1800 m
side opposite = distance (d) from the ship to the lighthouse when the angle is 90
:
tan(42) =
d = .9004 * 1800
d ~ 1621 meters from the ship to the light
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