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A boat is heading towards a lighthouse, whose beacon-light is 139 feet above the water. The boat’s crew measures the angle of elevation to the beacon, 11 degrees
∘
. What is the ship’s horizontal distance from the lighthouse (and the shore)? Round your answer to the nearest hundredth of a foot if necessary.

Respuesta :

Using the slope concept, it is found that the ship’s horizontal distance from the lighthouse (and the shore) is of 715.09 feet.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, we have that:

  • The vertical change is of 139 feet.
  • The horizontal change is of d feet.
  • The angle is of 11º.

Hence:

tan(11º) = 139/d

d = 139/tan(11º)

d = 715.09.

The ship’s horizontal distance from the lighthouse (and the shore) is of 715.09 feet.

More can be learned about the slope concept at https://brainly.com/question/18090623

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