If the distance from the boat to the lighthouse is 115 meters and the angle of elevation is 42°, which of the following equations will find the height 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. tan 42° = y over 115 tan 42° = 115 over y cos 42° = y over 115 cos 42° = 115 over y

Step-by-step explanation:

Is it correct to say that there is a right triangle formed in this situation. The reference angle is the angle of elevation, 42 degrees. We know the side adjacent to the angle is 115,(the distance from the boat to the lighthouse) and we want the length of the side across from the angle (the height of the lighthouse, y). The trig ratio that utilizes the side opposite and the side adjacent is the tangent ratio.

This is the answer choice you need to pick.

Step-by-step explanation:

(see diagram)

By definition of tangent

tangent (42) = opposite / adjacent

tangent (42) = H / 115

So the first answer choice is correct:

tan 42° = y over 115

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