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Math (core) LC2 Project. Osama Zaid Abdulla Al-Menhali 90131 11-03. 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.
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Math (core) LC2 Project Osama Zaid Abdulla Al-Menhali 90131 11-03
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.
TASK II • The sunfish Sailboat, as shown in the above figure, represents an isosceles triangle with the following dimensions, 13m, 13m, and 15m.
the measure of the Angle C • c2=a2+b2-2a.b.cosC • 152=132+132- 13.13.cosC • 225-169-169=-338cosC • cosC = -116/-338 • cosC=0.3343195266 • C=cos-1(0.3343195266)=70
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
The Area of Sail • Area=½ × a × b × sinC • =½ × 13 × 13 × sin70 • = 79.4 m2
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