Question

What is the value of x?
enter your answer as a decimal to the nearest tenth in the box

Answer 1

For this case we have to define trigonometric relationships in rectangular triangles that:

The sine of an angle is given by the opposite leg to that angle on the hypotenuse of the triangle.

Then, according to the figure shown we have to:

`Sin (47) = \frac {x} {18}`

So, clearing the value of "x" we have:

`x = Sin (47) * 18\\x = 0.7314 * 18\\x = 13.16`

We round and we have the value of "x" is:
`13.2 \ ft`

Answer:

`13.2 \ ft`