Questions: Using the image below, find the missing angle. Round to two degrees. 66.42° 1.16° 21.8° 23.58°

Solution Steps

We are given a right triangle with the side adjacent to angle $\theta$ as $BC = 4.4$ and the hypotenuse as $AB = 11$. We are asked to find the angle $\theta$.

Since we have the adjacent side and the hypotenuse, we can use the cosine function.

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

Substituting the given values, we get:

$\cos(\theta) = \frac{4.4}{11}$

$\cos(\theta) = 0.4$

Now, we take the inverse cosine of both sides to find $\theta$:

$\theta = \cos^{-1}(0.4)$

$\theta \approx 66.42^{\circ}$

Final Answer