An 85-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground. how high is the top of the tree house? round your answer to the nearest tenth of a foot.

For this case we can model the problem as a rectangle triangle.
 We have the hypotenuse and the angle.
 We want to find the height.
 For this, we use the following trigonometric relationship:
 sine (x) = C.O / h
 Where,
 x: angle
 C.O: opposite leg
 h: hypotenuse
 Clearing C.O we have:
 C.O = 85 * sine (45)
 C.O = 60.1040764
 Round to the nearest tenth of a foot:
 C.O = 60 feet
 
 the top of the tree house is 60 feet high

In all honesty, there really is no “work” per say to show. mainly it’s just using the process of elimination. the question is asking which domain(s) would be the most appropriate for the function c(n). n is the number of observed vehicles so right away, 1, 2, and 3 can be eliminated.why? 1, 2 start in the negatives and therefore it is impossible to observe negative cars. so, #4 would be the best answer to the given problem.