determine which of the following are possible widths of the river.

Question

Points , , and  are located along the edge of a river and point  is on the opposite edge. Use  and  to determine which of the following are possible widths of the river.

1. 
   
2. 30 yd
3. 32 yd
4. 35 yd
5. 37 yd
6. 39 yd
7. 40 yd
8. 50 yd

Answer 1

Length of dotted line is x

tan(48) = 39/x

x = 39/tan(48) = 35.11 ~ 35