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.
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.