1. Solve the following triangle. Round all side lengths and angles to 1 decimal place. Show full steps to receive process marks. (9 D 3.1 m F 5.2m 2. Determine the length of side AB to one decimal place. Show full steps to receive process marks. (3 4. The boom of a crane can be moved so that its angle of inclination changes. In one location, close to some buildings and some overhead power cables, the minimum value of the angle of inclination is 30, and the maximum value is 60. If the boom is 10 m long, find the vertical displacement of the end of the boom when the angle of inclination increases from its minimum value to its maximum value. a) Express your answer in EXACT form using your special triangles. Show all work to receive process marks. 6) b) Express your answer in approximate formr to the nearest tenth of a metre. (D vertical displacement +-- )f 5. Given angle 9 , where 0 S 6 5 360, determine two possible values of 9, to the nearest degree, where the following ratio would be true. Sketch both principal angles and label them using a diagram. tang = 0.9598 l 6. Determine the number ofpossible triangles that could be drawn with the given measures. Only determine the height when needed. Fill in the table with your information. DO NOT SOLVE. \" Number of Possible Given AJKL, 4K = 44, 1: 13.6, k = 9.4 Given AXYZ, 4X 2 137, x = 18.5, y = 6.2 Given AABC, AB = 28, c = 18, b = 11 7. The point P(5,12) lies on the terminal arm of an angle 6 in standard position. Determine the trig ratios for $116,603!) and cote. Then find 9 to the nearest degree. Include a fully labeled diagram. + 8. If 00159 = 2, find all possible ratios for sine and c056, where 0 5 6 5 360. Include a diagram. (9 \f10. A light in a park can illuminate effectively up to a distance of 100 m. A point on a bike path is 150 m from the light. The sight line to the light makes an angle of 23 with the bike path. What length of the bike path, to the nearest metre, is effectively illuminated by the light? (9 Show all steps to receive process marks. Bike Path 11. To measure the height, CD, of an inaccessible cliff, a surveyor recorded the data shown. Find the height of the cliff, to the nearest tenth of a metre. (9 Show all steps to receive process marks