Answer:
2.38 miles
Step-by-step explanation:
From Given diagram:
In ΔABC,
AC=2.5 miles
BC= 3.7 miles
∠BCA= 39.4°
Now as we have two sides and an angle, using law of cosines to find the third side:
c= √(a^2+b^2-2abcosα
AB=√(AC)^2 + (BC)^2 - 2(AC)(BC)cosα
=√(2.5)^2 + (3.7)^2 - 2(2.5)(3.7)cos(39.4°)
=√(2.5)^2 + (3.7)^2 - 2(2.5)(3.7)(0.77)
=√(5.695)
= 2.38 !
The answer is C. 45. Here's the work to prove it: c = correct answer, i = incorrect answer;
-2(c + i = 50)
2c - 3i = 75
-2c - 2i = -100
-5i/-5 = -25/-5
i = 5
c + 5 - 5 = 50 - 5
c = 45
