Processing math: 40%
Home / Aptitude Tests / Further Mathematics / Given that P = (-4, ...

Given that P = (-4, -5) and Q = (2,3), express →PQ i...

Given that P = (-4, -5) and Q = (2,3), express →PQ in the form (k,θ). where k is the magnitude and θ the bearing.

A.

(10 units, 053º)

B.

(9 units, 049º)

C.

(10 units, 037º)

D.

(9 units, 027º)

Correct answer is A

|→PQ| = √[(2-(-4))2 + (3-(-5))2]
|→PQ| = √62+82
|→PQ| = √100
|→PQ| = 10units

tanθ = 3524

tanθ = 43 

θ = tan143

= 53º