Sadie the dog is sitting on the roof of his doghouse, 4.5 ft off the ground. he is watching a cat that is 16 ft away from the base of the doghouse. what is the angle of depression from the roof of the doghouse to the cat? round to the nearest hundredth.

74.29136°

Step-by-step explanation:

It is given that dog is sitting on the roof 4.5 feet off the ground

And the cat is at the 16 feet above

From the billow figure base of the triangle is 4.5 feet and height of the triangle is 16 feet and we have to find the angle alpha

so from figure

3 1/3 x 2 3/5 = 8 2/3

step-by-step explanation:

just multiply the first number by the second number to get your answer.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.