In the figure below (not drawn in scale), the points A, B, and C represent the locations of three hospitals on the shore of a peninsula. These hospitals use drones to safely send medicines from one hospital to another. A drone departs from A in direction to C, travels at 35 km per hour, and takes 45 minutes until it arrives at C. Another drone, departing from B to C, traveling at 40 km per hour takes 30 minutes until it arrives at C. The drones' paths are indicated in the Figure below as segments b (from A to C) and a (from B to C), respectively. The angle ACB (at the tip of the peninsula in the picture) is 85°. Deduce the distance between the towns A and B and. Express your final answer in 3 decimal places. B b

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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In the figure below (not drawn in scale), the points A, B, and C represent the locations of three
hospitals on the shore of a peninsula. These hospitals use drones to safely send medicines from
one hospital to another.
A drone departs from A in direction to C, travels at 35 km per hour, and takes 45 minutes until
it arrives at C. Another drone, departing from B to C, traveling at 40 km per hour takes 30
minutes until it arrives at C. The drones' paths are indicated in the Figure below as segments
b (from A to C) and a (from B to C), respectively. The angle ACB (at the tip of the peninsula
in the picture) is 85°. Deduce the distance between the towns A and B and. Express your final
answer in 3 decimal places.
B
b
Transcribed Image Text:In the figure below (not drawn in scale), the points A, B, and C represent the locations of three hospitals on the shore of a peninsula. These hospitals use drones to safely send medicines from one hospital to another. A drone departs from A in direction to C, travels at 35 km per hour, and takes 45 minutes until it arrives at C. Another drone, departing from B to C, traveling at 40 km per hour takes 30 minutes until it arrives at C. The drones' paths are indicated in the Figure below as segments b (from A to C) and a (from B to C), respectively. The angle ACB (at the tip of the peninsula in the picture) is 85°. Deduce the distance between the towns A and B and. Express your final answer in 3 decimal places. B b
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