What is the angle (in degrees) north of east from the post office to the grocery store in centralburg?

Using SOH CAH TOA Rules;

Where,

SOH stands for Sine = Opposite : Hypotenuse.

CAH stands for Cosine = Adjacent : Hypotenuse.

TOA stands for Tangent = Opposite : Adjacent.

Solution:

Given dа ta:

Opposite = 4 blocks

Adjacent = 3 blocks

Angle ∅ = Unknown?

Calculation:

As per given data, we can use TOA to solve for ∅.

Tan∅ = Opposite : Adjacent

Tan∅ = 4 : 3

Tan∅ = 1·33

∅ = Tan⁻¹ (1.33)

∅ = 53.13°