An engineer erects a 65foot cellular telephone tower Find th

An engineer erects a 65-foot cellular telephone tower. Find the angle of elevation to the top of the tower at a point on level ground 40 feet from its base. (Round your answer to one decimal place.)

Solution

let x be the angle of elevation

tan x =65/40

x =tan^-1(65/40)

x =tan^-1(1.625)

x=58.4⁰

angle of elevation to the top of the tower at a point on level ground 40 feet from its base 58.4⁰