A cellular telephone tower
That is 120 feet tall is placed on top of a mountain that is
1200 feet above sea level. What is the angle of depression
from the top of the tower to a cell phone user who is 5 horizontal miles away and 400 feet above sea level?

Suppose there is a simple index of three stocks, stock abc, stock xyz, and stock qrs. stock abc opens on day 1 with 4000 shares at $3.15 per share. stock xyz opens on day 1 with 5000 shares at $4.30 per share. stock qrs opens on day 1 with 6000 shares at $4.60 per share. the price of stock abc on day 8 begins at $3.50. the price of stock xyz on day 8 begins at $3.90. stock qrs opens on day 8 with a price of $4.50 per share. assume that each stock has the same number of shares that it opened with on day 1. what is the rate of change of this simple index over 1 week?

In the 30-60-90 triangle below side s has a length of and side r has a length

Consider that lines b and c are parallel. what is the value of x? what is the measure of the smaller angle?