SOLUTION: Added in 1990 and removed in 1997, the highest advertising sign in the world was a large letter I situated at the top of the 73-story First Interstate World Center building in Los

Algebra ->  Trigonometry-basics -> SOLUTION: Added in 1990 and removed in 1997, the highest advertising sign in the world was a large letter I situated at the top of the 73-story First Interstate World Center building in Los       Log On


   

Question 1148548: Added in 1990 and removed in 1997, the highest advertising sign in the world was a large letter I situated at the top of the 73-story First Interstate World Center building in Los Angeles. At a distance of 220 feet from a point directly below the sign, the angle between the ground and the top of the sign was 77.79°. Approximate the height of the top of the sign.
Answer by ikleyn(53937) About Me  (Show Source):
You can put this solution on YOUR website!
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Added in 1990 and removed in 1997, the highest advertising sign in the world was a large letter I situated at the top of the 73-story
First Interstate World Center building in Los Angeles. At a distance of 220 feet from a point at the ground level directly below the sign,
the angle between the ground and the top of the sign was 77.79°. Approximate the height of the top of the sign.
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            Notice that I edited your post to make it more precise.
            My editing is underlined. 


Let  y = the height of the top of the sign.


Then tan(77.79°) = y%2F220,  which implies  y = 220*tan(77.79°) feet.


Use your calculator to get the value . . .