Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Ask your questions and receive precise answers from experienced professionals across different disciplines. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
Answer:
- 8 mi from station 1
- 6 mi from station 2
Step-by-step explanation:
From the first station, the angle between the direction of the other station (N90E) and the direction of the fire is 90-52 = 38°.
From the second station, the angle between the direction of the other station (N90W) and the direction of the fire is 90-37 = 53°.
We want to find the sides of the triangle with base angles 38° and 53° and base length 10 miles. The a.pex angle will be 180°-38°-53° = 89°. The law of sines can be used.
a/sin(A) = b/sin(B) = c/sin(C)
a = sin(A)·c/sin(C) = sin(38°)·10/sin(89°) ≈ 6.16 ≈ 6 . . . miles (from sta 2)
b = sin(B)·c/sin(C) ≈ sin(53°)·10.0015 ≈ 7.99 ≈ 8 . . . miles (from sta 1)
The fire is about 8 miles from the first station and 6 miles from the second station.
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.