A utility pole is braced by a cable attached to it at the top and anchored in a concete ?

Question

block at ground level a distant of 4 meters from the base of the pole. If the angle between the cable and the ground is 73 degrees, find the height of the pole and the length of the cable. (round to the nearest tenth) show work

Answer 1

This is trigonometry.  You are given the angle 73 degrees, and you are told that its adjacent leg is 4 m.  Call the height of the pole y.  You know that you must have tan(73) = y / 4, which you can solve algebraically.  Call the cable's length L.  It is the hypotenuse of a right triangle, so L^2 = 4^2 + y^2, which you can also solve algebraically once you know y.