GB-33-08-001 · Trigonometry to find an angle

Diagram not accurately drawn

Calculate the angle θ to 1 decimal place.

SOH CAH TOA (Finding a Missing Angle) Booklet p. 34

Method

1) Label triangle (H, O, A)

2) Pick TOA triangle: tan(θ) = O ÷ A

3) Use inverse tan: θ = tan⁻¹(O ÷ A)

Worked Example (GB-33-08-001)

1) Label sides

\mathbf{H}

(Hypotenuse),

\mathbf{O}

(Opposite angle),

\mathbf{A}

(Adjacent)

\tan\theta=\frac{17}{28}

3) 31.3°

31.3°