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In the given problem, we need to determine the measure of the angle θ in a right triangle, using cosine. We are given:

- The hypotenuse (hyp) is 5 cm.
- The adjacent side (adj) is 3 cm.

The formula to find an angle using cosine is:

\[
\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}
\]

Substituting the values:

\[
\cos(\theta) = \frac{3}{5} = 0.6
\]

To find the angle θ, take the inverse cosine (arccos) of 0.6:

\[
\theta = \cos^{-1}(0.6)
\]

Now, let's calculate that:

\[
\theta \approx 53^\circ
\]

So, the measure of angle θ is approximately **53°**, which corresponds to option **B**.

Would you like any further explanation or help with similar problems? 

Here are some related questions you might find interesting:
1. What is the sine function, and how would it be used in a similar triangle problem?
2. How do you calculate the angle using the tangent function instead of cosine?
3. How would the calculation change if the opposite side was given instead of the adjacent side?
4. What other trigonometric ratios can be used to solve for angles in right triangles?
5. How do you solve for the missing side in a right triangle using trigonometry?

**Tip**: Remember that in a right triangle, if you know two sides, you can always use trigonometric functions (sin, cos, or tan) to solve for the angles.

Determine the measure of angle θ using cos, with a triangle where the hypotenuse is 5 cm and the adjacent side is 3 cm.

Learn how to determine the measure of an angle in a right triangle using the cosine function. This problem provides a step-by-step solution for calculating angle θ when the hypotenuse is 5 cm and the adjacent side is 3 cm. Ideal for students in Grades 9-11 studying trigonometry.

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