emir is standing in a treehouse and looking down at a swingset in the yard next door. the angle of depression from emir's eyeline to the swing set is 31.43°, and emir is 11 feet from the ground. how many feet is the base of the tree from the swingset? round your answer to the nearest foot. 15 feet 20 feet 18 feet 24 feet

18 feet

Step-by-step explanation:

Well, it is a right triangle question. So, let us first define what is tangent in a right triangle. The tangent (tan) of right triangle is equal to length of opposite side divided by adjacent side. In our example, opposite side is given as 11 feet and tan(31.43)=0.611. So, adjacent side (the base of the tree from the swingset) = opposite side (distance from the ground to Emir's position)/tan(31.43). Hence, adjacent side (the base of the tree from the swingset) = 11/0.611=17.9997. If rounded to nearest foot, it is 18 feet.

answer: there are 453.592 grams in a pound.