SOLUTION: The angle of elevation to the top of a tower is 11° . After moving 109 m closer to the tower along the ground, the angle of elevation becomes 47°. How high is the tower in feet?

Algebra ->  Trigonometry-basics -> SOLUTION: The angle of elevation to the top of a tower is 11° . After moving 109 m closer to the tower along the ground, the angle of elevation becomes 47°. How high is the tower in feet?       Log On


   

Question 1169842: The angle of elevation to the top of a tower is 11° . After moving 109 m closer to the tower along the ground, the angle of elevation becomes 47°. How high is the tower in feet?
Round your answer to 2 decimal places and do not enter the unit.
Thank you
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Drawing not included but would help.
If r is hypotenuse for the larger right triangle formed, from original ground point to top of tower, y the vertical distance to be found, all angles needed being included, the
r=109%28%28sin%28133%29%29%2F%28sin%2836%29%29%29

then sine of 11 degrees is y%2Fr:

y=109%28sin%28133%29%2Fsin%2836%29%29sin%2811%29

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

The angle of elevation to the top of a tower is 11° . After moving 109 m closer to the tower along the ground, the angle of elevation becomes 47°. How high is the tower in feet?
Round your answer to 2 decimal places and do not enter the unit.
Correct answer: highlight_green%28matrix%281%2C2%2C+19.27%2C+m%29%29

BEWARE: The other person's suggested calculation will never get you this answer, so: cross%28y=109%28sin%28133%29%2Fsin%2832%29%29sin%2811%29%29