A support cable connects the top of a bridge tower to the road below. The cable is 245.9 feet long and connects to the road at a point 200.7 feet away from the
Mathematics
sugarysweetsadness
Question
A support cable connects the top of a bridge tower to the road below. The cable is 245.9 feet long and connects to the road at a point 200.7 feet away from the center of the bridge tower. To the nearest tenth of a foot, how tall is the tower? A.317.4 ft B.142.1 ft C.446.6 ft D.246.3 ft
2 Answer

1. User Answers skoolgirl345
Your answer is 142.1 I took the quiz 
2. User Answers JeanaShupp
Answer: B. 142.1 ft
Stepbystep explanation:
Given: A support cable connects the top of a bridge tower to the road.
Since, the bridge tower is standing vertical to the the road, therefore, the angle made by it is a right angle.
Therefore, the triangle made by cable(hypotenuse) and bridge tower (Perpendicular) on road (base) must be a right angled triangle.
Therefore, by Pythagoras theorem, we have
[tex]H^2=P^2+B^2\\\\\Rightarrow(245.9)^2=P^2+(200.7)^2\\\\\Rightarrow P^2=(245.9)^2200.7)^2\\\\\Rightarrow P^2=60466.8140280.49\\\\\Rightarrow P^2=20186.32\\\\\Rightarrow P=\sqrt{20186.32}\\\\\Rightarrow P=142.078569813\approx142.1\ ft[/tex]
Hence, the height of the bridge tower = 142.1 ft.