An Airplane Crashes in a Lake and Is Spotted by Observers

question 9

Multiple Choice

An airplane crashes in a lake and is spotted by observers at lighthouses A and B along the coast. Lighthouse B is 1.10 miles due east of lighthouse A. The bearing of the airplane from lighthouse A is $\mathrm { S } 20 ^ { \circ } \mathrm { E }$ ; the bearing of the plane from lighthouse B is $\mathrm { S } 40 ^ { \circ } \mathrm { W }$ . Find the distance from each lighthouse to the crash site.

• A) Distance from lighthouse \(A\) : 0.95 miles, Distance from lighthouse \(B\) : 1.28 miles
• B) Distance from lighthouse \(A\) : 1.35 miles, Distance from lighthouse \(B\) : 0.97 miles
• C) Distance from lighthouse \(A\) : 0.92 miles, Distance from lighthouse \(B\) : 0.76 miles
• D) Distance from lighthouse \(A\) : 1.43 miles, Distance from lighthouse \(B\) : 0.84 miles
• E) Distance from lighthouse \(A\) : 0.97miles, Distance from lighthouse \(B\) : 1.19 miles

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