# SOLUTION: The line of sight from a small boat to the light at the top of a 45-foot lighthouse built on a cliff 25 feet above the water makes a 39 degree angle with the water. To the nearest

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 Click here to see ALL problems on Trigonometry-basics Question 452573: The line of sight from a small boat to the light at the top of a 45-foot lighthouse built on a cliff 25 feet above the water makes a 39 degree angle with the water. To the nearest foot, how far is the boat from the cliff?Answer by ankor@dixie-net.com(15746)   (Show Source): You can put this solution on YOUR website!The line of sight from a small boat to the light at the top of a 45-foot lighthouse built on a cliff 25 feet above the water makes a 39 degree angle with the water. To the nearest foot, how far is the boat from the cliff? : Let d = distance to the base of the cliff (side adjacent to 39 degree angle) 25 + 45 = 70'; height of lighthouse, side opposite 39 degree angle : Tan(39) = d = d = 86 ft from the base of the cliff : Distance from the boat to the cliff (c) itself which is 25' ft above the base, use pythag c^2 = 25^2 + 86^2 c^2 = c = 89.6 ft