SOLUTION: Lily is standing at horizontal ground level with the base of the Sears Tower. The angle formed by the ground and the line segment from her position to the top of the building is 15

Algebra ->  Triangles -> SOLUTION: Lily is standing at horizontal ground level with the base of the Sears Tower. The angle formed by the ground and the line segment from her position to the top of the building is 15      Log On


   



Question 1088409: Lily is standing at horizontal ground level with the base of the Sears Tower. The angle formed by the ground and the line segment from her position to the top of the building is 15.7°. The Sears Tower is 1450 feet tall. Find Lily's distance from the Sears Tower to the nearest foot.

Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Using a right angled triangle.
Opposite side = 1450 feet
tan θ = 15.7 degrees
Adjacent side = ?
tan θ = Opposite/Adjacent
tan 15.7 = 1450/Adjacent side
tan 15.7 x Adjacent side = 1450
Adjacent side = 1450/tan 15.7
Adjacent side = 5159 feet (to nearest foot)
Lily's distance from Sears Tower.(to nearest foot)
Hope this helps :-)