A boat is located 5km from one buoy and 14km from a second buoy anchored 10km east of the first buoy. Find the boat's two possible bearings from the first buoy.

Question

asked Feb 9, 2024 92.4k views

1 Answer

Efx · Answer 1 · 2024-02-15T04:24:05+0000

Answer: The two possible locations are: 3.55 km west of the west buoy and 3.52 km south or north.

Step-by-step explanation:

$(10+y)^(2) + x^(2) = 14^(2) \\y^(2) + x^(2) = 5^(2)$

Where y is the distance between the first buoy on the y axis.

And x is the distance between the buoys on the x axis.