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koban [17]
3 years ago
11

Two campers leave their campsite at point A to go on a hike. Camper one heads east for 3 miles, then heads north 3 miles to poin

t B. Camper two heads north for 2 miles and then east for 5 miles to point C. Referencing the triangle formed by A, B, and C, m∠B=108.43° and AC = 5.39. If the final distance between the two campers ends up being 2.24 miles, find the angle between the paths they traveled. Round the answer to the nearest degree.
A.23°
B.34°
C.37°
D.49°
Mathematics
2 answers:
soldier1979 [14.2K]3 years ago
7 0
It's A
- Let<span> the </span>point<span> where </span>camper 1 heads north<span> be </span>D<span> and the </span>point<span> where </span>camper 2 heads 
SashulF [63]3 years ago
6 0

Answer:23

Step-by-step explanation:

We need to find angle BAC

given angle B=108.43

AC=5.39

BC=2.24

Using Sine rule to get angle BAC

\frac{sinB}{AC}=\frac{sinA}{BC}

sinA=2.24\times \frac{sin108.43}{5.39}

sinA=0.3942

A=sin^{-1}0.3942

A=23.216\approx 23

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