Question

From a horizontal distance of 80.0m the angle of elevation to the top of the flagpole is 18 degrees calculate the height of the flagpole

Answer 1

The figure is omitted--please sketch it.

Set your calculator to Degree mode.

tan(18°) = h/80

h = 80tan(18°) = about 25.994 feet

The height of the flagpole is about 25.994 meters (about 26 meters).