I attached the map for this question.
Answer:
distance = 259.4 yd
Explanation:
To answer this question, we will use the sine rule. The sine rule is also shown in the attached image.
Now, from the given map, we can assume that:
angle A = 54 degrees
a is the side opposite to angle A = 210 yd
angle B = 88 degrees
b is the side opposite to angle B which is the distance we want to find
Substitute in the rule to get the distance as follows:
sin A / a = sin B / b
sin (54) / 210 = sin (88) / b
3.852 * 10^-3 = sin (88) / b
b = (sin (88)) / (3.852 * 10^-3)
b = 259.4 yd
Therefore, the distance we are looking for is 259.4 yd
Hope this helps :)