It could be 1, I'm not really sure
Answer:
The scale is not reasonable.
Step-by-step explanation:
The painting is 48 inches by 120 inches
The scale is 1 inch = 4 inches
Divide the painting size by 4
48/4 = 12 inches
120/4 = 30 inches
We would need paper that is
12 inches by 30 inches
Our paper is 12 inches by 24 inches
It is too small. The scale is not reasonable
Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find b:
Reference angle = 45
opposite = 8
Hypotenuse = b
Thus,
Sin(45) = 8/b
b = 8/sin(45)
b = 8/(1/√2) (sin 45 = 1/√2)
b = 8 × √2/1
b = 8√2
✔️Find a using trigonometric ratio:
Reference angle = 60°
Hypotenuse = b = 8√2
Adjacent = a
Therefore,
Cos(60) = a/8√2
8√2*cos(60) = a
8√2*½ = a
4√2 = a
a = 4√2
✔️Find c using Pythagorean Theorem:
c² = b² - a²
c² = (8√2)² - (4√2)²
c² = 128 - 32
c² = 96
c = √96
c = √(16*6)
c = 4√6