Dustin is standing at the edge of a vertical cliff, 40 meters high, which overlooks a clear lake. he spots a fluffy white cloud above the lake, which from his point of view has an angle of elevation of $30^\circ.$ he also sees the reflection of the cloud in the lake, which has an angle of depression of $60^\circ.$ find the height of the cloud above the lake, in meters.

Janie has $3. she earns $1.20 for each chore she does and can do fractions of chores. she wants to earn enough money to buy a cd for $13.50. write an inequality to determine the number of chores, c, janie could do to have enough money to buy the cd.

10% of 1,900,000. show me how you got the answer

You have learned about the six trigonometric functions, their definitions, how to use them, and how to represent them graphically. the sine, cosine, and tangent trigonometric functions can be paired with their reciprocal functions, cosecant, secant, and cotangent, respectively. think about how each function is related to its reciprocal function. how are the graphs of the reciprocal functions related to their corresponding original functions? what happens to the graphs of the reciprocal functions as x approaches the zeros of the original functions? describe how you would teach friends with different learning styles (visual-spatial, aural-auditory, verbal-linguistic, physical-bodily-kinesthetic, logical-mathematical, social-interpersonal, and solitary-intrapersonal) how to graph the reciprocal functions