Question
At a point 8.6 m from the base of a lighthouse, the angle of elevation to the top of the lighthouse is 35º. How tall is the lighthouse? 35degrees, 8.6m.
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GPT 3.5
To find the height of the lighthouse, we can use trigonometry.
Let's denote the height of the lighthouse as h. According to the given information, we have:
tan(35º) = h / 8.6
Now, we can solve for h:
h = 8.6 * tan(35º)
h = 8.6 * 0.7002
h = 6.02 m
Therefore, the height of the lighthouse is approximately 6.02 meters.
Let's denote the height of the lighthouse as h. According to the given information, we have:
tan(35º) = h / 8.6
Now, we can solve for h:
h = 8.6 * tan(35º)
h = 8.6 * 0.7002
h = 6.02 m
Therefore, the height of the lighthouse is approximately 6.02 meters.
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