Question

Rápido y fácil, trigonometría. Urgente porfavor

Answer 1

Answer:

The angle $\theta$ measures approximately $28.81^o$

Step-by-step explanation:

Since this problem involves the finding of an angle in a right angle triangle for which we know the opposite side and the adjacent side, the trigonometric function that relates them is the tangent:

$tan(\theta)=\frac{opposite}{adjacent}$

Then, for our case we get a starting equation that reads:

$tan(\theta)=\frac{opposite}{adjacent} \\tan(\theta)=\frac{7.7}{14}$

and for which we need to solve for $\theta$. Then we use the arctangent function to get the final answer:

$tan(\theta)=\frac{7.7}{14} \\\theta=arctan(\frac{7.7}{14})\\\theta= 28.81^o$