 Math (core) LC2 Project Osama Zaid Abdulla Al-Menhali

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 cc 2 =a 2 +b 2 -2a.b.cosC 115 2 = cosC 2 =-338 c osC ccosC = -116/-338 ccosC= CC=cos -1 ( )=70

the measure of the Angle A&B  SinA/a = SinB/b = SinC/c  SinA/13 = Sin70/15  SinA= 13Sin70/15 =  A=Sin -1 ( )=55  B=180 - (70+55)=55

The Area of Sail  Area= ½ × a × b × sinC  = ½ × 13 × 13 × sin70  = 79.4 m 2

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