The image you provided contains two triangles, labeled as (a) and (b), and a question that seems to ask for the calculation of angles or sides using trigonometric functions.

Analyzing the Problem:

The problem is likely asking for the use of trigonometric ratios (sine, cosine, or tangent) to find missing angles or sides in the triangles.

Steps to Solve:

1. Identify the Known Values:

   • Look at each triangle and note the given side lengths and angles.

2. Apply Trigonometric Ratios:

   • Depending on the values given, you may need to use one of the following:
     • Sine (sin θ = opposite/hypotenuse)
     • Cosine (cos θ = adjacent/hypotenuse)
     • Tangent (tan θ = opposite/adjacent)

3. Calculate the Required Values:

   • Use the appropriate trigonometric ratio to find the missing angle or side.
   • If the question asks for the angle, you may need to use the inverse trigonometric function (e.g., $\sin^{-1}$, $\cos^{-1}$, or $\tan^{-1}$).

For Example:

• In triangle (a):

  • If you know two sides, use the tangent ratio to find the angle (or sine/cosine if the hypotenuse is involved).
  • If you know one side and one angle (not the right angle), use sine or cosine to find the other side.

• In triangle (b):

  • Similarly, use the given sides or angles to apply the correct trigonometric ratio.

Would you like to provide more specific details on the values given so I can help you with exact calculations? Here are some relevant practice questions:

1. How do you calculate an angle using the tangent function when given opposite and adjacent sides?
2. If you know the hypotenuse and an adjacent side, which trigonometric function will you use to find the angle?
3. How would you use sine to find the length of the side opposite to a given angle?
4. What is the process of finding an angle when only two sides are known?
5. How does the accuracy of your results change when you round trigonometric calculations to one decimal place?

Tip: Always keep track of which angle corresponds to which side in a triangle to ensure you're using the correct trigonometric function.