SOLUTION: the line of sight from a small boat to the light at the top of a 35 foot lighthouse built on a cliff 25 feet above the water makes a 25 degree angle with the water. to the nearest
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Question 1041438: the line of sight from a small boat to the light at the top of a 35 foot lighthouse built on a cliff 25 feet above the water makes a 25 degree angle with the water. to the nearest foot, how far is the boat from the cliff? Answer by ankor@dixie-net.com(22740) (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 35 foot lighthouse built on a cliff 25 feet above the water makes a 25 degree angle with the water. to the nearest foot, how far is the boat from the cliff?
:
This is a right triangle formed by the boat at B, the top of the light house and the water directly below the lighthouse C
The side opposite the 25 degree angle is 60 ft from the water to the top of the lighthouse
The side (a) adjacent to B is the distance on the water to the base of cliff
tan(25) =
a =
a = 128.67 ft from the boat to the base of the cliff
:
"how far is the boat from the cliff?"
The distance from the boat to the cliff is the hypotenuse (h) of another right triangle. We know the two sides
h =
h = 131.08 ft to the top of the cliff
