Question

Determine the measure of ∠θ using a trigonometric ratio.Question options:A) 12.54°B) 45.10°C) 1.00°D) 17.38°

Answer 1

Given:-

The traingle.

To find:-

The measure of angle theta.

So to find the angle value we use the formula,

`\cos \theta=(adjside)/(hypotnews)`

So by using this value in the given data. we get,

`\begin{gathered} \cos \theta=(12)/(17) \\ \cos \theta=0.705 \end{gathered}`

So as we need the value of theta to be found. we have,

`\theta=cos^(-1)(0.705)`

The value of theta will be the value of cos inverse of 0.75

So the value of theta is,

`\begin{gathered} \theta=\cos ^(-1)(0.75) \\ \theta=45.10^(\circ) \end{gathered}`

So the required value of theta is 45.10 degree.