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If the height of the lighthouse is 53 meters and the angle of elevation is 47°, which of the following may be used to find the distance, z, between the boat and the base of the lighthouse? A right triangle is formed from the distance between a boat and the bottom of a lighthouse, the height of the lighthouse, and the distance from the boat to the top of the lighthouse; the angle of elevation from the boat to the top of the lighthouse is x degrees. a cos 47 degrees equals z over 53 b cos 47 degrees equals 53 over z c tan 47 degrees equals 53 over z d tan 47 degrees equals z over 53



Answer :

mhanifa

Answer:

  • c) tan 47 degrees equals 53 over z

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To find the distance z, between the boat and the base of the lighthouse, you can use the tangent function.

  • tangent = opposite leg / adjacent leg

Given the height (opposite leg) of the lighthouse is 53 meters and the angle of elevation is 47°, the correct option is:

  • tan 47° = 53/z

or

  • c) tan 47 degrees equals 53 over z

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