angle elevation of highest point of a building from points s and t are 60 and 30 respective. T is vertically above s and st 10 m calculate height above s, solution

1 answer

Draw the diagram. It should be clear that
if the distance of ST to the building is x, and
the height of the building is h, then
(h-10)/x = tan30°
h/x = tan60°
So, eliminating x,
(h-10)/tan30° = h/tan60°
Now just solve for h