A tree growing on the side of a hill casts a 102-foot shadow straight down the hill (see figure).
Find the vertical height of the tree if, relative to the horizontal, the hill slopes 15º and the angle of
elevation of the sun is 62º.

Figure abcd is a parallelogram. if point c lies on the line x = 2, what is the y-value of point c?

You are making a battery for a science project. you have copper wire for your first electrode. you need to choose a conductor, a second electrode, and a device to plug into your battery. you have already chosen a lemon conductor. complete each statement below about the options that include a lemon conductor.

Imogene invested $8,000 in a bank account that pays 8 percent simple interest at the end of each year. her friend invested the same amount in stocks where the growth of the investment is represented as 2,000 times the square root of 2 less than the time lapsed in years. if y1 and y2 represent the amount earned in dollars and t is the time lapsed in years, which system of equations correctly represents the situation?