SOLUTION: At a point 40 feet from the base of a building, the angle of elevation to the top of the building is 55°. Find the height of the building to the nearest whole foot.

Algebra ->  Length-and-distance -> SOLUTION: At a point 40 feet from the base of a building, the angle of elevation to the top of the building is 55°. Find the height of the building to the nearest whole foot.      Log On


   

Question 334774: At a point 40 feet from the base of a building, the angle of elevation to the top of the building is 55°.
Find the height of the building to the nearest whole foot.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
base = 40 feet
angle of elevation = 55
..
+Tan+%28alpha%29+=+vertical+%2F+base
tan%2855%29=height+%2F40
height = tan 55 * 40
height = 1.428*40
57.12 feet