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Transcript
# Right Triangle ABC Solve the right triangle ABC if: * **C = 90°** * **C = 57°20'** * **b = 100** **Calculations** * angle B = 90° - 57°20' * angle B = 32°40' * cos (C) = b/c * cos (57°20') = 100/c * c = 100/cos(57°20') * c = 185.27 * tan (C) = a/b * tan (57°20') = a/100 * a = 100 * tan(57°20')...
# Right Triangle ABC Solve the right triangle ABC if: * **C = 90°** * **C = 57°20'** * **b = 100** **Calculations** * angle B = 90° - 57°20' * angle B = 32°40' * cos (C) = b/c * cos (57°20') = 100/c * c = 100/cos(57°20') * c = 185.27 * tan (C) = a/b * tan (57°20') = a/100 * a = 100 * tan(57°20') * a = 155.97 # Ladder Problem A ladder 24 feet long leans against the side of a wall. Find the distance of the ladder to the wall. **Calculations** * sin (18°10') = x/24 * x = 24 * sin (18°10') * x = 7.5 feet