FrontierScience / 422512ca-5a0c-4a23-b987-7fa2eb2024e6 / Suppose the Moon is 3 degrees above the horizon and we observe it over the ocean…

Suppose the Moon is 3 degrees above the horizon and we observe it over the ocean that has small ripples on its surface. We are located such that we can see the reflection of the moon in the ocean. Assume we are very far away from the ocean. Derive a value for the quantity `r` defined as a ratio of the perceived maximum vertical displacement over the perceived maximum horizontal displacement of the shape of the Moon's reflection in the ocean, by using ray geometry. Round your answer to the nearest whole number.

Think step by step and solve the problem below. At the end of your response, write your final answer on a new line starting with “FINAL ANSWER”. It should be an answer to the question such as providing a number, mathematical expression, formula, or entity name, without any extra commentary or providing multiple answer attempts.

Suppose the Moon is 3 degrees above the horizon and we observe it over the ocean that has small ripples on its surface. We are located such that we can see the reflection of the moon in the ocean. Assume we are very far away from the ocean. Derive a value for the quantity `\( r \)` defined as a ratio of the perceived maximum vertical displacement over the perceived maximum horizontal displacement of the shape of the Moon's reflection in the ocean, by using ray geometry. Round your answer to the nearest whole number.

Think step by step and solve the problem below. At the end of your response, write your final answer on a new line starting with “FINAL ANSWER”. It should be an answer to the question such as providing a number, mathematical expression, formula, or entity name, without any extra commentary or providing multiple answer attempts.