Question

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.

Answer 1

74.29136°

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
`tan\alpha =(perpendicular)/(base)=(16)/(4.5)=3.555`

`\alpha =tan^(3.5555)=74.29136°`