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A boat is heading towards a lighthouse, whose beacon-light is 110 feet above the
water. The boat's crew measures the angle of elevation to the beacon, 7. What is the
ship’s horizontal distance from the lighthouse (and the shore)? Round your answer to
the nearest tenth of a foot if necessary.

Sagot :

Raphealnwobiidn

The horizontal distance between the lighthouse and the shore is 896 feet.

Trigonometric ratio

Trigonometric ratio is used to show the relationship between the sides and the angles of a right angled triangle.

The angle of elevation is 7°. Let d represent the horizontal distance from the lighthouse and the shore. Hence:

tan(7) = 110/d

d = 110 / tan(7)

d = 896 feet

The horizontal distance between the lighthouse and the shore is 896 feet.

Find out more on Trigonometric ratio at: https://brainly.com/question/6459892

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