Trigonometry 7th Edition

$= 101.6$ sq ft of tent material.
1. Tent shapes $= 3$ rectangles (2 sides and 1 floor) $= 4$ right angled triangles 2. Find the top angle of the right angled triangle $= 180 - (60+90)$ $= 180 - 150$ $= 30˚$ 3. Find the missing base of the triangle $\frac{x}{sin30} = \frac{4}{sin60}$ $x = \frac{4sin30}{sin60}$ by GDC / Calculator $x = 2.3094...$ ft 4. Find the area of the triangle $= base \times height \div 2$ $= (2.309 \times 4) \div 2$ $= 4.618...$ sq ft 5. Multiple the number of right angled triangles that make up the tent $= 4.618 \times 4$ $= 18.4752...$ sq ft 6. Find the area of the rectangular tent floor and the sides $= length \times width$ $= 6 \times 4.61880...$ $= 27.7128...$ $= 3(27.7128)$ $= 83.138...$ sq ft 7. Total area of the tent material $= 83.138 + 18.4752$ $= 101.61364...$ sq ft $= 101.6$ sq ft