A boat is 122 meters from the base of a lighthouse that is 34 meters above sea level. What is the angle of elevation from the boat to the top of the lighthouse? Round to the nearest degree.

A boat is 122 meters from the base of a lighthouse that is 34 meters above sea level What is the angle of elevation from the boat to the top of the lighthouse class=

Respuesta :

Angle = tan(opposite/adjacent)

arctan Angle = arctan(34/122)

angle = 15.57

The angle of elevation from the boat to the top of the lighthouse is 16⁰.

Angle of elevation of the boat

The angle of elevation of the boat is calculated as follows;

tanθ = opposite side/adjacent side

where;

  • θ is the angle of elevation

tanθ = 34/122

tanθ = 0.2787

θ = arc tan(0.2787)

θ = 16⁰

Thus, the angle of elevation from the boat to the top of the lighthouse is 16⁰.

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