Answer:
The two possible distance are 147.5km and 64.4km
Step-by-step explanation:
Given
<em>See Attachment for Illustration</em>
Required
Determine the possible distance of ship A from the boat
The distress is represented by X;
So, the question requires we calculate distance AX;
This will be done using cosine formula as follows;
In this case;
a = 70;
b = ??
x = 120
A = 28 degrees
Substitute these values in the formula above
Subtract 4900 from both sides
Solve using quadratic formula
Substitute 1 for a; -211.9 for b and 9500 for c
This can be splitted to
or
or
or
<em>Hence, the two possible distance are 147.5km and 64.4km</em>
