SOLUTION: A radio tower is 600 ft. high .Two cables tied to the top of the tower are anchored at two points A and B on level ground such that the angles made by the cables with the horizonta
Algebra.Com
Question 888439: A radio tower is 600 ft. high .Two cables tied to the top of the tower are anchored at two points A and B on level ground such that the angles made by the cables with the horizontal are 57 degrees 30 minutes and 43 degrees 50 minutes respectively .Find the lengths of the cables.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
57 degrees 30 minutes is equal to 57 + 30/60 degrees is equal to 57.5 degrees.
43 degrees 50 minutes is equal to 43 + 50/60 degrees is equal to 43.833... degrees.
the height is equal to 600 feet.
you want sine (57.5) = 600 / x.
x is the hypotenuse of the triangle formed and is the length of one of the cables.
you want sine (43.833...) = 600 / y
y is the hypotenuse of the triangle formed and is the length of the other cable.
solve for x to get x = 600 / sine (57.5) = 711.413... feet.
solve for y to get y = 600 / sine (43.83...) = 866.347...
length of the cable is x + y = 1577.760... feet
a picture of your situation is shown below:
RELATED QUESTIONS
A radio station is going to construct a 6- foot antenna tower on the roof of the station... (answered by stanbon)
a radio station is going to construct a 9 foot tower for a new antenna. the tower will be (answered by Alan3354)
A radio station is going to construct a 12-foot tower for a new antenna on top of a tall... (answered by richwmiller)
A radio station is going to construct a 12-foot tower for a new antenna. The tower will... (answered by checkley77)
A 100 m radio mast is supported by six cables in two sets of three cables. They are... (answered by ankor@dixie-net.com)
The broadcast tower for radio station WSAZ (Home of “Algebra in the Morning with Carl and (answered by josgarithmetic)
Two radio antenna towers stand perpendicular to level ground and 50m apart. Two support... (answered by Alan3354)
a cathedral tower 200 feet high is 250 feet from a chruch tower 150 feet high. On top of... (answered by solver91311)
An h = 105-ft tower is located on the side of a mountain that is inclined 32° to the... (answered by stanbon)