A steel rod has a length of 0.2 cm at 30 degrees C, what will be its length at 60 degrees C?

2.00072 mm

Explanation:

So, we just have to calculate 2 mm x (1 + 0.36 x 10⁻³) = 2 mm + 0.00072 mm = 2.00072 mm

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west