SOLUTION: a radio tower casts a shadow 120 meters long when the angle of elevation of the sun is 41 (degrees. how tall is the tower?

Algebra ->  Trigonometry-basics -> SOLUTION: a radio tower casts a shadow 120 meters long when the angle of elevation of the sun is 41 (degrees. how tall is the tower?      Log On


   



Question 35706: a radio tower casts a shadow 120 meters long when the angle of elevation of the sun is 41 (degrees. how tall is the tower?
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Draw a picture of a tower of height x, that is perpendicular to the ground. The shadow is on the ground at a distance of 120 meters. This one requires trigonometry, where tan+41+=+%28opposite%29%2F%28adjacent%29+=+x%2F120

Therefore +x+=+120%2A+tan+41 degrees. Be sure your calculator is in degree mode and calculate: x = 104.31 meters.

R^2 at SCC