You are in the middle of an island hopping with your friends when water suddenly starts to enter the boat. You and your friends have to think of a fast way to be safe and you notice that there's a nearby island with a lighthouse on the shore, but you are not sure how far it is from you. The angle of elevation of your boat to the top of the 210ft lighthouse is 62 degrees. 1. Make an illustration of the problem. 2. How far are you from the lighthouse? Show your solution. 3. Nearby boats noticed what was going on and rapidly went towards your boat. The closest boat to your boat has an angle of elevation of 42 degrees, assuming that the lighthouse, your boat, and the rescuing boat are aligned in a straight line a. How far was the rescuing boat from your boat? Show your solution. b. How far was the rescuing boat from the lighthouse? Show your solution. 4. Which one is closer to your boat? The lighthouse or the other boat? Why?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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You are in the middle of an island hopping with your friends when water suddenly starts to enter the boat. You and your friends have to think of a fast way to be safe and you notice that there's a nearby island with a lighthouse on the shore, but you are not sure how far it is from you. The angle of elevation of your boat to the top of the 210ft lighthouse is 62 degrees. 1. Make an illustration of the problem. 2. How far are you from the lighthouse? Show your solution. 3. Nearby boats noticed what was going on and rapidly went towards your boat. The closest boat to your boat has an angle of elevation of 42 degrees, assuming that the lighthouse, your boat, and the rescuing boat are aligned in a straight line a. How far was the rescuing boat from your boat? Show your solution. b. How far was the rescuing boat from the lighthouse? Show your solution. 4. Which one is closer to your boat? The lighthouse or the other boat? Why?
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