*Refer to the image attached below
Answer:
346.4 ft
Step-by-step Explanation:
The distance between the boats, CD = BD - BC
Using trigonometry, find the length of BD in triangle ∆ABD and also calculate the length of BC in triangle ABC.
Length of BD in triangle ABD:
Opposite side to <30° = 300 ft
Adjacent side = BD


Divide both sides by tan(30)

(rounded to nearest tenth)
Length of BC in triangle ABC:
Opposite side to <60° = 300 ft
Adjacent side = BC


Divide both sides by tan(60)

(rounded to nearest tenth)
The distance, CD, between the boats is calculated as BD - BC
= 519.6 - 173.2 = 346.4 ft