Question

Geometry hw questions. Please help me. (pictures attached)

Answer 1

In these problems, we're looking to use some of these trigonometric functions:
\[ \begin{array}{|c|c|}
\hline
\sin \text{angle} = \frac{\text{opposite}}{\text{hypotenuse}} & \csc \text{angle} = \frac{\text{hypotenuse}}{\text{opposite}} \\
\hline
\cos \text{angle} = \frac{\text{adjacent}}{\text{hypotenuse}} & \sec \text{angle} = \frac{\text{hypotenuse}}{\text{adjacent}} \\
\hline
\tan \text{angle} = \frac{\text{opposite}}{\text{adjacent}} & \cot \text{angle} = \frac{\text{adjacent}}{\text{opposite}} \\
\hline
\end{array} \]

to relate the information we do know to the information we want to know.

Answer 2

Right, but what do I do, to find out the answer?

Answer 3

8/sec 75?

Answer 4

Notice, in this first picture,we know one angle and one leg's length (the adjacent leg). We want to find the opposite leg's length.


So, we just need to use the trig function that involves an opposite side, the adjacent side, and the angle, and plug in the information.