You are a pirate captain trying to determine how long it will take you to get to an island where you expect to find buried treasure. You are heading due North, toward the island. 60° West of North, you spot a light house. According to your sea chart, the top of the lighthouse is 50 m off the ground. You can see the top of the light house at a 5° incline to the horizon. The sea chart also tells you that the distance from the lighthouse to the island is 512.39 m. If the boat is travelling at 5 m/s, how long will it take for the boat to reach the island?

Question

Mathematics

Rachel Marks

6 October, 15:30

You are a pirate captain trying to determine how long it will take you to get to an island where you expect to find buried treasure. You are heading due North, toward the island. 60° West of North, you spot a light house. According to your sea chart, the top of the lighthouse is 50 m off the ground. You can see the top of the light house at a 5° incline to the horizon. The sea chart also tells you that the distance from the lighthouse to the island is 512.39 m. If the boat is travelling at 5 m/s, how long will it take for the boat to reach the island?

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Ralph Ali · Answer 1

Best Answer

Distance = rate * time.

The distance is the circled in number. Just plug it into a calculator.

Make sure you are in Degrees mode.

*The numbers are derived using the Law of Sines