# Math Help - Distance between the two ships.

1. ## Distance between the two ships.

English is not my first language and i don't seem to understand what it is asking or how the diagram should look. Can someone help me interpret and give me some advice?

At noon, ship A passes the point P that is 8 km west of a harbour, heading due north at 8 km/h. At 10 a.m., ship B had left the harbour, sailing due north at 6 km/h.

Give an expression for D, the distance between the two ships, in terms of t, the number of hours after noon.

2. Originally Posted by ASUSpro
English is not my first language and i don't seem to understand what it is asking or how the diagram should look. Can someone help me interpret and give me some advice?

At noon, ship A passes the point P that is 8 km west of a harbour, heading due north at 8 km/h. At 10 a.m., ship B had left the harbour, sailing due north at 6 km/h.

Give an expression for dB, the distance between ship B and the harbour, in terms of t, the number of hours after noon.
distance ship B north of the harbor ... $d_B = 12 + 6t$

3. sorry i meant the distance between the two, would it be
c squared = a squared + bsquared

c squared = 8^2 + (6t+12)^2 ? and isolate c?

4. Originally Posted by ASUSpro
sorry i meant the distance between the two, would it be
c squared = a squared + bsquared

c squared = 8^2 + (6t+12)^2 ? and isolate c?
correction ...

$c^2 = [(6t+12)-8t]^2 + 8^2$