Acellular telephone tower that is 300 feet tall is placed on top of a mountain that is 1100 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? (round your answer to two decimal places.)

Angle of depression=2.17°

Step-by-step explanation:

Step 1: Determine the height of the tower relative to the cell phone user

Height of tower above sea level=Height of mountain above sea level+height of tower on top of the mountain

where;

Height of mountain above sea level=1,100 feet

Height of tower on top of the mountain=300 feet

replacing;

Height of tower above sea level=(1,100+300)=1,400 feet

Height of cell phone user above sea level=400 feet

Height of the tower relative to the cell phone user=Height of tower above sea level-height of cell phone user above sea level

where;

height of tower above sea level=1,400 feet

height of cell phone user above sea level=400 feet

replacing;

Height of the tower relative to the cell phone user=(1,400-400)=1,000 feet

Step 2: Determine the angle of depression

Tan∅=Horizontal distance from tower to cell phone user/vertical distance between top of tower and cell phone user

where;

Horizontal distance from tower to cell phone user=5 miles

1 mile=5,280 feet, (5×5,280)=26,400 feet

Vertical distance between top of tower and cell phone user=1,000 feet

replacing;

Tan∅=26,400/1,000

Tan∅=26.4

∅=Tan^(-1)(26.4)

∅=87.83°

Angle of depression=90-∅=90-87.83=2.17°

Angle of depression=2.17°

the above table 1 will calculate the population size (n) after a certain length of time (t). all you need to do is plug in the initial population number (no), the growth rate (r) and the length of time (t). the constant (e) is already entered into the equation. it stands for the base of the natural logarithms (approximately 2.71828). growth rate (r) and time (t) must be expressed in the same unit of time, such as years, days, hours or minutes. for humans, population growth rate is based on one year. if a population of people grew from 1000 to 1040 in one year, then the percent increase or annual growth rate is 40/1000 x 100 = 4 percent.

step-by-step explanation: