plane and trigonometry
posted by rhen songalia .
a 30 foot flagstaff is fixed in the center of a circular tower 40 feet in diameter. from a point in the same horizontal plane as the foot of the tower the angles of elevation of the top of the flagstaff and the top of the tower is 30 degree repectively. find the height of the tower

You 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.
Respond to this Question
Similar Questions

math
In the given diagram,AB represents a vertical pole and CD represents a 40 m high tower both of which are standing on the same horizontal plane.From the top of the tower,the angles of depression of the top and the foot of the pole are … 
trig
a 7 foot tall man is standing 65 feet away from a tower. if the angle of elevation is 35 degrees. what is the height of the tower to nearest tenth of a foot? 
Trig
The angle of elevation from a point on the ground to the top of a tower is 37deg5'. The angle of elevation from a point 120 feet farther back from the tower is 29deg5'. Find the height of the tower (to the nearest foot). 
Math
If an observer stands at a certain point in the same horizontal plane as the base of a radio tower. the angle of elevation of the top of the tower is 13deg 15'. If the observer moves 156.25 feet towards the tower, the angle of elevation … 
Trigonometry
A 30foot flagstaff is fixed in the center of a circular tower 40 feet in diameter. From a point in the same horizontal plane as the foot of the tower the angles of elevation of the top of the flagstaff and the top of the tower are … 
math
the elevation of a tower from a point on the ground is 30 at a point on the horizontal line passing through the foot of the tower and 100 metres nearer it, the angle of elevation is 60 find height of the tower and the distance of the … 
Math
1) A plane is located at C on the diagram. There are two towers located at A and B. The distance between the towers is 7,600 feet, and the angles of elevation are given. a) find BC, the distance from Tower 2 to the plane, to the nearest … 
Math Trignometry
. From the top of the 800foottall Cartalk Tower, Tom sees a plane; the angle of elevation is 67°. At the same instant, Ray, who is on the ground 1 mile from the building, notes that his angle of elevation to the plane is 81° and … 
Math
7m long flagstaff is fixed on tower standing on horizontal plain . Frm a point on the ground angle of elevation of top and bottom of flag staff are 60 and 40 find height of tower 
trigonometry
the angle of elevation of the top of the tower from the foot of a flagpole is twice the angle of elevation of the top of the flagpole from the foot of the tower. at the point midway between the tower and the flagpole, the angles of …