The distance between two locations, A and B, is calculated using a third location C at a distance of 15 miles from location B. I
f ∠B = 105° and ∠C = 20°, what is the distance, to the nearest tenth of a mile, between locations A and B?
2 answers:
Answer:
Distance between A and B is 5.7 miles
Step-by-step explanation:
In the given triangle ABC
∠B = 105° and ∠C = 20°
and distance between locations B and C = 15 miles.
We have to determine the distance between locations A and B.
In triangle ABC
∠A = 180 - (∠B + ∠C) = 180 - (105 + 20) = 180 - 125 = 55°
Now we place the values of angles and distance BC in the formula
Therefore distance between locations A and B is 6.3 miles
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