Question

Nicole is looking up at a 66° angle to the top of a cell phone tower that is 151 ft tall. How far away is she from the base of the tower? Round to the nearest hundredth. A. 45.43 ft

B. 64.38 ft
C. 67.23 ft
D. 78.98 ft

Answer 1

The situation described in the question can be described by a right triangle with one of the angles as 66 degrees and the side opposite the right triangle is of length 151 feet. We are to find the length of the side adjacent the angle 66 degrees. Let the length of the side adjacent angle 66 degree be x, then

`tan(66^o)=\cfrac{opp}{adj}=\cfrac{151}{x}\\ \\ \Rightarrow x=\cfrac{151}{tan(66^o)}=67.23 ft`