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1. Use the triangle below to answer the questions. (Please see the attached image) (a) \sin A= __________ (b) \cos A= __________ (c) \tan C= __________ (d) \csc C= __________ (e) \sec C= __________ (f) \cot A= __________ 2. A person standing 100 feet from the bottom of a cliff notices a tower on top of the cliff. The angle of elevation to the top of the cliff is 30^{\circ}, and the angle of elevation to the top of the tower is 58^{\circ}. How tall is the tower?

A truck tire has a volume of 218 L and is filled with air to 35.0 psi at 295 K. After a drive, the air heats up to 318 K. (a) If the tire volume is constant, what is the pressure? (b) If the volume increases 2.0%, what is the pressure? (c) If the tire leaks 1.5 g of air per minute and the temperature is constant, how many minutes will it take for the tire to reach the original pressure of 35.0 psi ( M _ { 4 } ,(M4​, of air = 28.8 g/mol)?

An engineer constructs a container that is intended to reduce heat loss by conduction and convection when a hot object is placed inside. (Please see the attached image) A coworker mentions that the model is flawed. Which statement most likely represents the flaw mentioned by the coworker? ◯ The black inner wall would absorb heat through conduction and transfer the heat to the outer layers of the container by convection. ◯ The black inner wall would absorb heat through convection and transfer the heat to the outer layers of the container by radiation. ◯ The black inner wall would absorb heat through radiation and convection and transfer the heat to the outer layers of the container by radiation. ◯ The black inner wall would absorb heat through radiation and conduction and transfer the heat to the outer layers of the container by conduction.