Question

Rápido y fácil, trigonometría. Urgente porfavor

Answer 1

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

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)=(opposite)/(adjacent)`

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

`tan(\theta)=(opposite)/(adjacent) \\tan(\theta)=(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)=(7.7)/(14) \\\theta=arctan((7.7)/(14))\\\theta= 28.81^o`