elementary math for teachers
posted by jen .
The diagram depicts a rope connecting the top of a pole to the ground. The rope is 27 yd long and
touches the ground 23 yd from the pole. How tall is the pole?

Use the Pythagorean theorem.
Respond to this Question
Similar Questions

word problem
A 62 foot rope hangs from the top of a pole. When pulled taut to its fullest length the rope reaches a point on the ground 31 feet from the base of the pole. Find the height of the pole to the nearest tenth of a foot. Let p equal the … 
Geometry
a 31 meter pole breaks and the tip touches the ground 10 meters from the base of the pole. How tall is the part of the pole that is still standing? 
precal
A pole 12 meters tall is perpendicular to level ground. A taut wire that is 20 meters long extends from the top of the pole to the ground. What is the angle of elevation, to the nearest degree, from the bottom of the wire to the top … 
Math
One end of a rope is tied to the top of a pole which is 30cm long and the rope is pulled tant then the other and is tied to a peg on the level ground.the angle of elevation which the rope makes with the ground is 55 degree celsius. … 
math (algebra)
An auto dealer wants to string a wire from the top of a pole to the ground and hang colorful pennants from it. The distance from the base of the pole to the point where the wire is attached to the ground is 3 times the height of the … 
algebra
A guy rope is attached to the top of a tent pole. The tent pole is 8 feet tall. If the guy rope is pegged into the ground 5 feet from the tent, how long is the guy rope? 
Algebra
Scott set up a volleyball net in his backyard. one of the poles, which forms a right angle with the ground, is 6 feet high. To secure the pole, he attached a rope from the top of the pole to a stake 8 feet from the bottom of the pole. … 
Trigonometry
A vertical pole 35m high, standing on sloping ground is braced by a wire which extends from the top of the pole to a point on the ground 25 m from the foot of the pole. If the pole subtends an angle of 30 degrees at the point where … 
Geometry
A telephone pole is supported by a steel cable which extends from the top of the pole to a point on the ground 3 meters from its base. When Leah walks 2.5 meters from the base of the pole toward the point where the cable is attached … 
algebra
Two vertical poles 20m and 30m high are 60m apart.A rope is to be attached from the top of one pole to a point on the ground halfway between the poles and then to the top of the other pole.How long a rope is needed?