Question

d is built from A to meet the highway at D which is equidistant from A and B. FInd the position of D on the highway.A highway runs east-west between two towns C and B that are 25 km apart. Town A lies 15 km directly north from C. A straight road is built from A to meet the highway at D which is equidistant from A and B. FInd the position of D on the highway.

Answer 1

A highway runs east-west between two towns C and B that are 25 km apart. Town A lies 15 km directly north from C. A straight road is built from A to meet the highway at D which is equidistant from A and B. Find position of D on the highway. find distance AB Using Pythagorian AB^2 = 15^2+ 25^2 then find Point M which is midpoint of AB AM=MB= 1/2 (AB) now take a look at the right triangle ABC tan(