Aspotlight is mounted on a wall 7.4 feet above a security desk in an office building. it is used to light an entrance door 9.3 feet from the desk. to the nearest degree, what is the angle of depression from the spotlight to the entrance door?

Here we have a 90 degrees triangle where we can use trigonometric functions. 

Here we can use tan(x) function because it requires legs of triangle that are given and inverse function of tan(x) will than give us asked angle 

tan(x) = 7.4/9.3 = 0.7956
x = arctan(0.7956) = 38.505 ≈ 39 degrees.

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c