jenn is standing at a point 185 feet from the base of the Eiffel Tower in Paris. The angle of elevation to the top of the tower is measured to be 80deg How tall is the tower?

Answer 1

185tan80 = 1,049.2 feet high

the base and height form two sides of a right triangle.

the tangent of the angle of depression is the height divided by the base = 1,049.2/185 = about 5.67

the angle whose tangent is 5.67 is 80 degrees

tan80 = 5.67

185tan80 = 180(5.67) = about 1,049 feet