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.

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Mathematics

7 August, 17:09

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.

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Sterling Patrick · Answer 1

This is the concept of trigonometry, the distance of Lily from the tower will be given by:

tan theta=[opposite]/[adjacent]

opposite=1450 ft

adjacent=x ft

theta=15.7

thus;

1450/x=tan15.7

hence;

x=1450/tan15.7

x=5,158.54 ft

x=5,159 (to the nearest foot)