SOLUTION: a stake is to be driven into the ground away from the base of a 50foot pole,a wire from the stake on the ground to the top of the pole is to be installed at an angle of elevation o

Question 258685: a stake is to be driven into the ground away from the base of a 50foot pole,a wire from the stake on the ground to the top of the pole is to be installed at an angle of elevation of 52degrees.

This is like the triangle on the paper being that b is 50 foot pole,
the stake is at the end of A n it is 52 degrees and C is the wire
how far away from the base of the pole should the stake be driven in,to the NEAREST foot? what will be the length of the wire from the stake to the top of the pole, to the NEAREST foot?''.
i need two different answers right? please help and thank you
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!
a stake is to be driven into the ground away from the base of a 50foot pole,a wire from the stake on the ground to the top of the pole is to be installed at an angle of elevation of 52degrees.

how far away from the base of the pole should the stake be driven in,to the NEAREST foot? what will be the length of the wire from the stake to the top of the pole, to the NEAREST foot?''.
i need two different answers right? please help and thank you


50 ft is the opposite, a is the adjacent.

So use the tangent.



Put 1 under the tangent:



Cross-multiply:



Divide both sides by tangent:



 round to 39 feet.

------------------------

50 is the opposite, c is the hypotenuse.

So use the sine.



Put 1 under the sine:



Cross-multiply:



Divide both sides by sin:



 round to 63 feet.

Edwin

RELATED QUESTIONS
i have no type of idea how to find out to solve nothing i appreciate n thank you a... (answered by stanbon,ankor@dixie-net.com)
a 12,9m wire is stretched from the top of a 12m pole to stake in the ground 5m from the... (answered by Alan3354)
A vertical pole 15 feet high is to be supported by a wire. The wire will be anchored to a (answered by Alan3354)
A taut telephone wire extends from the top of a 6.4-meter tall telephone pole to a stake... (answered by Alan3354)
A wire is stretched from the top of a 12 foot pole to a stake 5 feet from the base of (answered by checkley77)
A wire stretches from the top of a pole 22 ft high to a stake in the ground which is 10... (answered by jojo14344)
A wire attached to the top of a pole reaches a stake in the ground 20 feet from the foot... (answered by mananth)
A 6m pole is to be stabilized by tying 6.5m of steel cable from a stake in the ground to... (answered by solver91311)
A kite is tethered to a stake in the ground by a string 40ft. long, which makes an angle... (answered by stanbon)