Answer:
Distance covered by the boat was 446.27 feet
Step-by-step explanation:
A boat which is at the point C approaching the light house.
At point C angle of depression to the boat was 17°44' and when boat stops at point B angle of depression was 48°13'.
Length of the tower is 200 feet then distance DC traveled by the boat.
Since at point B angle of depression was 17°44' so we will convert the angle in degrees.
Angle of depression = ∠ACB = 17°44' =
From ΔABC
tan 17.73° =
Now in ΔABD
∠ADB = 48°13' = 48° + = 48.217°
Now
Therefore distance DC = BC - BD
DC = 625 - 178.73 = 446.27 feet
So the answer is 446.27 feet was distance covered by the boat.
