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.

Answer 1

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.