Y=4.56 I hope you like this totally correct answer
Answer:
BC = 2.24 cm
AC = 1.99 cm
Step-by-step explanation:
well to start we have to know the relationships between angles, legs and the hypotenuse.
a: adjacent
o: opposite
h: hypotenuse
sin θ = o/h
cos θ= a/h
tan θ = o/a
θ = 40°
h = 3cm
a = AC
o = BC
first let's calculate BC
sin θ = o/h
o = sin θ * h
o = sin 40 * 3
o = 0.7451 * 3
o = 2.24 cm
BC = 2.24 cm
having one leg and the hypotenuse we can calculate the other leg with pitagoras
h^2 = c1^2 + c2^2
3^2 = 2.24^2 + AC^2
9 = 5.02 + AC^2
AC^2 = 9 - 5.02
AC = √ 3.98
AC = 1.99
the carpet is rectangular, thus its area is simply the product of its two dimensions, namely 8*6 = 48 m².
how much is the shaded area? well, since it's also rectangular, its area is also that product of 2*2 = 4, recal is a square so length = width = 2.
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