Town 1 and Town 2 are situated 7 km apart on the bank of a river. The school and the church are 2 km apart situated on the other bank of the river. The market is situated 4 km away from the school, as shown below.
How far is the school from Town 1?

Answers:
4km
10km
14km
28km

Question

Town 1 and Town 2 are situated 7 km apart on the bank of a river. The school and the church are 2 km apart situated on the other bank of the river. The market is situated 4 km away from the school, as shown below.
 How far is the school from Town 1?

Answers: 
4km
10km
14km
28km

anonymous · Answer

attachment

anonymous · Answer

@pfenn1 can you please help me with this?

pfenn1 · Answer

|dw:1337832829141:dw|We know that the triangle MSC is similar to the triangle MT1T2.  Therefore we can write ratios of the sides where the distance from M to S over the distance from M to T1 equals the distance from S to C over the distance from T1 to T2.$$\frac {4}{4+x}=\frac 2 7$$