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1 month ago

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

Mathematics

2 answers:

tester [12.3K]1 month ago

7 0

Applying SOH CAH TOA principles;

Definitions:

SOH stands for Sine = Opposite over Hypotenuse.

CAH indicates Cosine = Adjacent over Hypotenuse.

TOA denotes Tangent = Opposite over Adjacent.

Given Data:

Opposite side is 4 squares.

Adjacent side is 3 squares.

Angle ∅ is unknown.

Calculation:

Using the TOA rule based on the data:

Tan∅ = Opposite ÷ Adjacent

Tan∅ = 4 ÷ 3

Tan∅ = 1.33

∅ = Tan⁻¹ (1.33)

∅ = 53.13°

Final Answer:

∅ = 53.13°

Summary:

Using SOH CAH TOA rules to find the angle when opposite and adjacent sides are known resulted in ∅ = 53.13°. This method can be applied to similar problems. Thank you for reviewing, and now you can solve questions of this type.

zzz [12.3K]1 month ago

4 0

Using the SOH CAH TOA method:

Definitions:
SOH means Sine = Opposite ÷ Hypotenuse.
CAH means Cosine = Adjacent ÷ Hypotenuse.
TOA means Tangent = Opposite ÷ Adjacent.

Solution:

Given:
Opposite side = 4 blocks
Adjacent side = 3 blocks
Unknown angle ∅

Calculation:
We can find ∅ using TOA rule:

Tan∅ = Opposite ÷ Adjacent
Tan∅ = 4 ÷ 3
Tan∅ = 1.33
∅ = Tan⁻¹ (1.33)
∅ = 53.13°

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Step-by-step explanation:

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