Thursday

August 28, 2014

August 28, 2014

Posted by **rhen songalia** on Tuesday, July 16, 2013 at 9:18am.

- plane and trigonometry -
**Steve**, Tuesday, July 16, 2013 at 10:13amYou have only given one angle, but I'll call the unknown angle A and assume it is the angle to the top of the pole.

Your mission, should you choose to accept it, is to fill in the missing data and follow the logic to a final solution.

If the observer is x feet from the base of the tower (that is x+20 feet from the center of the base of the tower),

and if the height of the tower is h,

h/x = tan 30 = 1/√3

(h+30)/(x+20) = tan A

equating the two expressions for x, we get

√3 h = (h+30)/tanA - 20

h = (30 cotA - 20)/(√3 - cotA)

If A is the angle of the tower, not the pole, then you got some fixing to do.

**Related Questions**

solid mensuration - 104. A fly stationed at a point on the circumference of the ...

Math - If an observer stands at a certain point in the same horizontal plane as ...

trigonometry - The angle of elevation of the top of a tower to point A on the ...

Trigonometry - From an observation tower that overlooks a small lake, the ...

Geometry - 4.Determine which point does not lie on the graph of the line y=x-3 a...

math - In the given diagram,AB represents a vertical pole and CD represents a 40...

trigonometry - There is a plane arriving into Denver, CO. The plane is landing ...

Plane Trigonometry - A compact disk is 12 cm in diameter & rotates at 100 rpm ...

geometry - A plane is flying at an altitude of 12,000 m. From the pilot, the ...

algebra1 - A)a plane flies at the height of 1800 feet directly over 150-foot-...