1. Realizar los sigulentes problemas a. Un barco \( B \) pide socorro y se reciben las sus señales en dos estaciones de radio, \( A \) y \( C \), que distan entre sí 50 km . Desde las estaciones se miden los siguientes ángulos, \( B A C=46^{\circ} \) y \( B C A=53^{\circ} \) ¿ A que distancia de cada estación se encuentra el barco.

The diagram shows a scale drawing of a lacrosse field. The diagram is 5 1/2 inches long and 3 inches wide. If 1 inch represents 20 yards, what is the area of the field?

A rectangular field 225 ft by 120 ft has a ring of uniform with cut around the outside edge. The ring leaves \( 65 \% \) of the field uncut in the center. What is the width of the ring?

How do you rotate 270 degrees counterclockwise about the origin? What is the rule for rotating 270 degrees about the origin? 

Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589.

Find the volume of the cone above. Select the formula for the volume of a pyramid \( \frac{1}{3} \cdot h \) Areaof Base \( \cdot h \) \( l \cdot w \cdot h \) \( 2 \cdot \pi \cdot r^{2} \cdot h \) Find the volume of the square based pyramid above.