Krystal, a marine biologist, needs to test the water at different points in a lake. She walks 800 feet from her parked car to a sign which says that the lighthouse on the far side of the lake is 2400 feet away. She plans to take her boat across the width of the lake, in order to sample different spots of the water. In order to ensure her boat can reach the other side without running out of fuel, she sets up the corresponding model below. If her boat can travel 5000 feet for each gallon of gas, how much gas will she need to have to travel across the lake and back?

Krystal, a marine biologist, needs to test the water at different points in a lake. She walks 800 feet from her parked car to a sign which says that the lighthouse on the far side of the lake is 2400 feet away. She plans to take her boat across the width of the lake, in order to sample different spots of the water. In order to ensure her boat can reach the other side without running out of fuel, she sets up the corresponding model below. If her boat can travel 5000 feet for each gallon of gas, how much gas will she need to have to travel across the lake and back?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

She plans to take her boat across the width of the lake, in order to sample different spots of the water. In order to ensure her boat can reach the other side without running out of fuel, she sets up the corresponding model below.

If her boat can travel 5000 feet for each gallon of gas, how much gas will she need to have to travel across the lake and back?

Width
31
Lighthouse
2400
Sign
800
31°
1000
Car

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