Question

A vector has an x-component of length 12 and a y-component of length 14.

What is the angle of the vector? (Hint: Use the inverse tangent.)

Answer 1

49.2 Deg

Step-by-step explanation:

Here we know the x cordination and y cordination if we take horizontal angle between resultant vector and the x axis

lets consider the triangle including the x angle in the graph

we can consider the tan ratio

Tan (x) = length of opposite leg / length of adjacent leg

Tan (x) = 14/12 = 1.1667

x = Tan ⁻¹(1.1667)

= 54.042 Degrees