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From a boat on the lake.....

From a boat on the lake, the angle of elevation to the top of a cliff is 30°50'. If the base of the cliff is 1038 feet from the boat, how high is the cliff(to the nearest foot)?

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SURENDRA K. | An experienced,patient & hardworking tutorAn experienced,patient & hardworking tut...
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Say , the height of cliff is h feet.
 
h/1038 = tan(30 dig, 50 min)
 
h=  1038*0.5969
 
  =  619.6 feet
 
The height of cliff is 619.6 feet