Question

If one of the towers on the Golden Gate Bridge is approximately 500 feet tall and the side span is about 1,125 ft. wide, approximately how much cable is needed to run from the top of the tower diagonally down to the bridge road? Round your answer to the nearest foot, and enter the number only.

Answer 1

1231 foot

Explanation:

We are given that one of the towers on the Golden Gate Bridge is approximately 500 feet tall and side span is about 1,125 feet wide.

We have to find the length of cable is needed to run from the top of the tower diagonally down to the bridge road.

Height of tower=500 feet

Width of bridge road=1,125 feet

Using pythagorus theorem

`(Hypotenuse)^2=(perpendicular)^2+(Base)^2`

Substitute the values

`H^2=(500)^2+(1125)^2=250000+1265625`

`H^2=1515625`

`H=√(1515625)`

H=1231.107 feet

H=1231 feet approximately

Hence, the length of cable needed to run from the top of the tower diagonally down to the bridge road=1231 foot.