Problems with two observation points or two objects, a tower on a building, a moving aircraft or boat, and a river or bridge to measure. Solving two equations for the height and the distance.
3 lessons, about 1 h 15 min3 simulations10 problems3 practice questionsPython in every lesson
Created by StemPy LabOne angle is not enough when the distance to the foot of a tower is unknown. Two angles from two points on a line give two right triangles and two equations. Solve them together for the height and the distance. The shortcut is .
When a flagstaff stands on a building, two lines of sight from one ground point end on one vertical line. Both triangles share the same base . Write for the bottom and for the top, then subtract the building to find the flagstaff.
A moving aircraft or boat has one fixed height and two positions. The distance moved is the difference of two horizontal distances, , and speed is the distance divided by the time. A river's width is the difference of two distances too.
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