Help I System A PRINTER VERSTON BACK Question 1 Angle of Ele

Help I System A PRINTER VERSTON BACK Question 1 Angle of Elevation. Let be the angle of elevation from a point on the grund to the top of a tree. If sine- and the tree is 30 61 feet high, then how far fro m the base of the tree is the point on the ground? 26 Enter the exact answer The point on the ground is feet from the base of the tree. exact number, no tolerance Question Attempts: O of 1 used SAVE FOR LATER SUBNET ANSWER hot 20 MapleNet

Solution

sin theta = 60/ 61

using sin theta formula

sin theta = perpendicular / hypotenuse

perpendicular = 60

hypotenuse = 61

base = sqrt ( 61^2 - 60^2 ) = 11

tan theta = perpendicular / base

60/11 =30 /base

base = 30*11 / 60 = 5.5

hence, point is 5.5 feet from the base of the tree