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.Com
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)   (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


then sine of 11 degrees is :


Answer by MathTherapy(10557)   (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: 

BEWARE: The other person's suggested calculation will never get you this answer, so:  

RELATED QUESTIONS


From a point on the ground 255 m from the base of a tower, the angle of elevation to the... (answered by scott8148)

The angle of elevation to the top of a tower from point A on the ground is 18.6 degrees .  (answered by josgarithmetic)

A cable to the top of a tower makes an angle of 31deg with the level ground. At a point... (answered by ankor@dixie-net.com)

A cable to the top of a tower makes an angle of 35 deg with the lower ground. At a point... (answered by stanbon)

A guy wire makes a 65° angle with the ground. Walking out 37 feet further from the tower,  (answered by josgarithmetic,MathTherapy)

A tower TR and an observer at O. |OR| = 84 m and the angle of elevation of the top of the  (answered by ikleyn)

A man finds the angle of elevation of the top of a tower to be 30o. He walks 85m nearer... (answered by mananth)

The angle of elevation from a point on level ground to the top of a tower is 32.34.  The... (answered by stanbon)

To find the height of a tower, a surveyor positions a transit that is 2 m tall at a spot... (answered by pushpaharan)