the angle of elevation of the top of a radio mast from a point due east of it and 96m away from its base is 30degrees. from another point due west of the mast, the angle of elevation of the top is 60 degree. Calculate the distance of the second point from the base of the mast
The height h of the mast can be found using
h/96 = sin30°
Then the unknown distance x can be found using
x/h = cot60°
x = (96 sin30°) cot30° = 48√3
or several other ways, using the three triangles.