Question

You are helping to design a road for a high mountain pass. There are two routes over the pass, but both have to cross steep ravines. Use what you know about solving radical functions to design a bridge that will safely cross the ravine. 1. What is the horizontal distance that your bridge must span to clear the ravine? 100 feet 2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equation for r in terms of x and y. 3. There are several possible heights at which the higher end of the bridge can be attached to the higher mountain. Fill in the table below to use 5 possible values for y, and calculate the resulting values for r. (5 points: 1 point for each line of the chart) x x2 y y2 Slope (rise/run) r 100 0 100 2.5 100 5 100 7.5 100 10 For automobile safety, the maximum slope that a highway can have is 6%, or 0.06. A surveyor measures the angle from one edge of the ravine to the other and determines that your br

Answer 1

Answer:

Given data

slope=100

r=10

Using Pythagoras theorem

x^2=y^2+z^2

Using F=P(1+i)^n

n=10

i=0.06

P=100

F=$764