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A boat is heading towards a lighthouse, whose beacon-light is 132 feet above the
water. The boat's crew measures the angle of elevation to the beacon, 5º. 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.

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akposevictor

Applying the tangent ratio, the horizontal distance, rounded to the nearest tenth, is: 1,508.8 ft.

What is the Tangent Ratio?

Tangent ratio, TOA, is expressed as, tan ∅ = opposite/adjacent.

The situation has been sketched in the diagram atatched below, where:

  • ∅ = 5°
  • Height of beacon = 132 ft (hypotenuse)
  • The ship's horizontal distance from the light house = BC = ? (opposite)

Apply the tangent ratio:

tan 5 = 132/BC

BC = 132/tan 5

BC = 1,508.8 ft.

Therefore, applying the tangent ratio, the horizontal distance, rounded to the nearest tenth, is: 1,508.8 ft.

Learn more about the tangent ratio on:

https://brainly.com/question/14169279

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