Aboard an orbital research station, Emek and Tara prepared a communication antenna to contact a distant satellite. On the station's guidance diagram, the satellite's direction formed a right triangle with a horizontal reference line. The satellite was positioned 24 kilometers horizontally from the reference point and 10 kilometers above it. Tara used the tangent relationship, tan θ = 10/24, and found that the antenna needed to point about 22.6 degrees above the horizontal. Before transmitting, they also had to check a solar panel extending 8 meters horizontally from the antenna. Its upper edge was 3 meters above the antenna's base. Emek calculated that a signal traveling at 22.6 degrees would be about 8 tan(22.6 degrees), or 3.33 meters, above the base after 8 meters. Since 3.33 meters was greater than the panel's 3-meter height, the signal path cleared it by about 0.33 meter. Tara set the antenna to 22.6 degrees, and the station established a safe, steady connection with the satellite.