Two wires between two buildings

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Question from Bill:

I need to find the height of the intersection point of two building wires
Building A is 860 feet high and building B is 480 feet high. The wires existent from the top of one building to
The bottom of the other
The distance between is 32 feet

Hi Bill,

I drew a diagram and put a coordinate system on it with the origin at the base of the taller building.

diagram

Using the diagram what is the equation of the wire (straight line) from the base of the taller building to the top of the shorter building? What is the equation of the line from the top of the taller building to the base of the shorter building? What is the Y-coordinate of the point where these lines intersect?

Penny

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