What is the length of the x-component of the vector shown below? A. 65.8 B. 90.6 C. 112 D. 33.2

The correct answer is - option b. 90.6

Explanation:

The scalar x-component of a vector can be expressed as the product of its magnitude with the cosine of its direction angle

If you shine a light straight down onto that vector, then the length of its shadow on the x-axis is -

x-component = 112· cosine (36°)

x-component = 112 · (0.8090)

x-component = 90.60

Thus, The correct answer is - option b. 90.6