A cellular telephone tower that is 150 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

87.9391 degrees

Step-by-step explanation:

The top of the cellular phone tower will be at 1200 + 150 = 1350 feeet above sea level.

The cell phone user is at 400 feet above sea level, so the difference of height between the cellular phone tower and the cell phone user is 1350 - 400 = 950 feet.

The horizontal distance between then is 5 miles, which is 5 * 5280 = 26400 feet.

To calculate the angle, we need to imagine a triangle, where the angle is at the top of the tower, the adjacent cathetus is 950 feet, and the opposite cathetus is 26400 feet.

The relation between opposite cathetus and adjacent cathetus is the tangent, so:

tan(angle) = 26400 / 950 = 27.7895

angle = 87.9391 degrees

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

51840000 cm 2

step-by-step explanation: