Answer:
300 ft
Step-by-step explanation:
Given that a city planner wants to build a ramp onto a highway. The vertical distance that the ramp goes up is 160ft. The length of the ramp is 340ft and represents the hypotenuse of a right triangle.
i.e. the triangle formed is a right one with hypotenuse 340 ft and one side 160ft. The other side is the horizontal distance the ramp will cover say x
Then by Pythagorean theorem we get
[tex]340^2 = 160^2+x^2\\x^2 =(340+160)(340-160)\\\\x^2 =90000\\x =300 ft[/tex]
Thus horizontal distance the ramp will cover = 300 ft.
