Answer :
The value of theta to the nearest degree is 66°.
Using the given values of the opposite and adjacent sides of the right-angled triangle, we can use the trigonometric relation:
tan θ = opposite / adjacent
Substituting the given values, we get:
tanθ= 16/7
To find the value of theta, we can take the inverse tangent (or arctan) of both sides:
θ=tan ⁻¹ (16/7)
Using a calculator, we get:
θ ≈ 66.37°
Therefore, the value of theta to the nearest degree is 66°.
