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1 answer:
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Answer:
The southern lighthouse is 3.4 miles closer than the northern lighthouse
Step-by-step explanation:
From the figure we see that we need to find the distances AK and BK.
The measure of the third angle K is = 180- 25-35= 120 degrees
Using the sine ratios we can find the two distances
From the figure
The northern distance is given by
20/ sin 120 = kA/ sine 35
KA= 20 sine 35/ sine 120
KA= 13.25 miles
The southern distance is given by
20 /sine 120= KB / sine 25
20 sine 25/ sine 120 = KB
KB= 9.759=9.76 miles
Difference between the two miles =
13.25 miles - 9.76 miles = 3.49 miles
The southern lighthouse is 3.4 miles closer than the northern lighthouse
Option C is correct
