This question is roughly based on some historical data from tropical cyclone Clare which crossed the WA coast near Dampier in January 2006. It started off as a tropical low north of the Northern Territory and was upgraded to tropical cyclone intensity at 8 pm on Saturday 7 January when it was located 430 km north of Broome. Clare steadily developed while moving on a southwest track towards the Pilbara coast at 25km/h. Clare weakened once making landfall at 11pm on the 9th. As it crossed the coast, it slowed and adopted a south south-westerly track moving at 12 km/h. Clare was downgraded to a tropical low at 11pm on the 10th. How far from Broome and in what direction was Clare when it was downgraded to a tropical low?
To determine the distance and direction of tropical cyclone Clare from Broome when it was downgraded to a tropical low, we can refer to the given information.
According to the information provided, Clare was initially located 430 km north of Broome when it was upgraded to tropical cyclone intensity on Saturday, 7 January. The cyclone then moved on a southwest track towards the Pilbara coast at a speed of 25 km/h. It made landfall at 11 pm on the 9th and slowed down with a south-southwesterly track at a speed of 12 km/h. Clare was downgraded to a tropical low at 11 pm on the 10th.
To find the distance and direction from Broome when Clare was downgraded, we can calculate the cyclone's movement from its initial position to the point of downgrade:
Distance traveled from Broome to the point of downgrade:
Initial distance from Broome to Clare: 430 km
Distance traveled on a southwest track towards the Pilbara coast: 25 km/h * (number of hours from the upgrade to downgrade)
To find the number of hours, we can calculate the time difference between 8 pm on Saturday, 7 January, and 11 pm on the 10th:
7th January, 8 pm to 10th January, 11 pm = 74 hours
Distance traveled towards the Pilbara coast: 25 km/h * 74 hours = 1850 km
Distance from Broome when Clare was downgraded:
Initial distance from Broome to Clare: 430 km
Distance traveled towards the Pilbara coast: 1850 km
Total distance from Broome to the point of downgrade: 430 km + 1850 km = 2280 km
Direction from Broome when Clare was downgraded:
Initially, Clare was on a southwest track towards the Pilbara coast. After making landfall, it adopted a south-southwesterly direction. Therefore, the approximate direction from Broome when Clare was downgraded to a tropical low would be south-southwest.
In summary, Clare was approximately 2280 km from Broome in a south-southwesterly direction when it was downgraded to a tropical low.