Question

What is the difference of the lengths of and

and round the answer to two decimal places.
A
U
E
45°
AB= 6 units B
? Use the value # = 3.14,
BC=2 units
C

Answer 1

Answer: The length difference is AB - BC = 6 * sin(45) - 2 * sin(45) = 4 * sin(45) ≈ 2.83 units (rounded to two decimal places).

Explanation: To find the length difference of AB and BC, we need to use trigonometry to calculate the length of AB and BC first. Using the sine function, we can find that AB/sin(45) = 6/sin(90), which gives AB = 6 * sin(45). Similarly, we can find that BC/sin(45) = 2/sin(90), which gives BC = 2 * sin(45). Therefore, the length difference is AB - BC = 6 * sin(45) - 2 * sin(45) = 4 * sin(45) ≈ 2.83 units.