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The top of a lighthouse is 100 m above sea level. The angle of elevation from the
deck of the sailboat to the top of the lighthouse is 28°. Calculate the distance
between the sailboat and the lighthouse.

Respuesta :

sqdancefan

Answer:

  188 m

Step-by-step explanation:

The tangent of the angle is the ratio of the side opposite (height of the lighthouse) to the side adjacent (distance to the lighthouse):

  tan(28°) = (100 m)/distance

  distance = (100 m)/tan(28°) ≈ 188 m

The distance between the sailboat and the lighthouse is about 188 m.

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