Solving Multl-Step Equations (continued)

Veronica made a triangle by taking an 8 \(1/2 \times; 11\) sheet of paper and putting a dot at the top. She then drew lines from the bottom corners to the dot and cut along the lines (see diagram). [Triangles] What is the area of the triangle that Veronica cut out?

The terminal side of an angle \(\theta\) in standard position intersects the unit circle at \(\displaystyle{\left(\frac{{5}}{{13}},\frac{{12}}{{13}}\right)}\). What is \(\sin (\theta)\)? Write your answer in simplified, rationalized form.

If the hypotenuse of a \(45^{\circ}-45^{\circ}-90^{\circ}\) triangle has a length of \(\displaystyle\sqrt{2}\), how long are the legs?

\(\tan 28^{\circ} = \cot ?\)

In triangle ABC, \(a=15\), \(b=14\), \(c=10\). Find \(\displaystyle{m}{<}{B}\)

Suppose that you are headed toward a plateau 50 meters high. If the angle of elevation to the top of the plateau is \(60^{\circ}\), how far are you from the base of the plateau?

If \(A = 40^{\circ}, B = 60^{\circ}\), and \(a = 20\), find b.