# From the top of a 270 ft lighthouse, the angle of depression to a ship in the ocean is 26...

## Question:

From the top of a 270 ft lighthouse, the angle of depression to a ship in the ocean is 26°. How far is the ship from the base of the lighthouse? (Round the answer to the nearest foot.)

## Finding the Distance between Ship and Base of the Lighthouse:

In the right-angle triangle, the tangent theta is equal to the length of the opposite side over the length of the adjacent side.

In this case, we have to get the distance between the ship and the base of the lighthouse by using the tangent function.

$$tan \theta = \frac{opposite}{adjacent} $$

## Answer and Explanation: 1

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Height of the lighthouse is {eq}270 \ \text{feet}. {/eq}

The angle of depression to a ship from the top of the lighthouse is...

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Chapter 13 / Lesson 4Problem-solving with angles of elevation and depression involve the use of trigonometric relationships which are in short form SOH-CAH-TOA. Study the definition of elevation and depression along with examples of how to solve these types of problems.

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