Two birds sit at the top of two different trees 57.4 feet away from one another. The distance between the second bird and a bird watcher on the ground is 49.6 feet. What is the angle measure, or angle of depression, between the first bird and the bird watcher? a 30.2° b 59.8° c 40.8° d 49.2°

C. 40.8

Step-by-step explanation:

Looking at the pic we could see that angle x which is the missing angle is opposite the height which is 49.2  and is adjacent to the distance between the two birds which is 57.4. So using soh cah toa  we could define it as  the inverse of tan which is opposite over adjacent.

we could write the formula  

m∠x =      

m∠x = 40.8306   which rounds to 40.8

thus, the first answer choice, y = sec x, is the correct one