Question

11)
find the missing side. round to the nearest tenth.
29.6
29.5
29.3
29.4

Explanation:

Step1: Identify trigonometric ratio

The triangle is right-angled. The side adjacent to the 33° angle is 16, and x is the hypotenuse. Use cosine: $\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}$.

Step2: Set up equation

$\cos(33^\circ) = \frac{16}{x}$

Step3: Solve for x

$x = \frac{16}{\cos(33^\circ)}$

Step4: Calculate value

$\cos(33^\circ) \approx 0.8387$, so $x \approx \frac{16}{0.8387} \approx 29.5$

Answer:

29.5