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Math (core) LC2 Project Osama Zaid Abdulla Al-Menhali 90131 11-03
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Triangular Sail Boats and MATH A sailboat is a boat that uses wind as its primary way to move around. A sail is simply a piece of fabric that is used to catch the wind to drive the boat across the water. There are many different types and designs of Sailboats. Although these boats vary in size and craftsmanship, they are still sailboats. The sailboat is a form of transportation, a type of recreation ranging from simple craft to the most elaborate racing yacht, and even a form of housing. A one-person boat with a tiny sail represents freedom.
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TASK II The sunfish Sailboat, as shown in the above figure, represents an isosceles triangle with the following dimensions, 13m, 13m, and 15m.
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the measure of the Angle C cc 2 =a 2 +b 2 -2a.b.cosC 115 2 =13 2 +13 2 - 13.13.cosC 2225-169-169=-338 c osC ccosC = -116/-338 ccosC=0.3343195266 CC=cos -1 (0.3343195266)=70
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the measure of the Angle A&B SinA/a = SinB/b = SinC/c SinA/13 = Sin70/15 SinA= 13Sin70/15 =0.8144002713 A=Sin -1 (0.8144002713 )=55 B=180 - (70+55)=55
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The Area of Sail Area= ½ × a × b × sinC = ½ × 13 × 13 × sin70 = 79.4 m 2
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the shortest distance from the lower edge to the top corner of the sail Area=½ × b × h 79.4=0.5 × 15h 79.4=7.5h h=79.4÷7.5 =10.6 m
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