Understand the properties of trigonometric functions.{{CMD_1}} {{CMD_2}}Evaluate expressions and solve equations involving trigonometric functions and inverse trigonometric functions.{{CMD_3}} {{CMD_4}}Understand rate of change when quantities are dependent upon each other.{{CMD_5}} {{CMD_6}}Apply chain rule to relate quantities expressed with different units.{{CMD_7}} {{CMD_8}} A boat sails {{CMD_9}}directly{{CMD_10}} toward a {{MATH_11}} skyscraper that stands on the edge of a harbor. An observer stands at the front of the boat. Let {{MATH_12}} formed by the lines connecting the top and the bottom of the skyscraper to the observer's head (for all intents and purposes, you may assume that the line from the bottom of the skyscraper and the outline of the skyscraper are perpendicular to each other). Let {{MATH_13}} denote the horizontal distance of the boat from the building. Express the angle {{MATH_14}} as a function of {{MATH_15}}. {{MATH_16}} {{CMD_17}} Now suppose the boat is sailing directly toward the skyscraper at {{MATH_18}}. This means that {{MATH_19}} {{CMD_20}} Using your previous answers, find {{MATH_21}} when the boat is {{MATH_22}} from the building. {{MATH_23}} {{CMD_24}} {{CMD_25}} {{CMD_26}} {{CMD_27}}