SOLUTION: The boundary of a city is a circle of diameter d = 6 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is pl

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The boundary of a city is a circle of diameter d = 6 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is pl      Log On


   



Question 494319: The boundary of a city is a circle of diameter d = 6 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 7-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) (Round all answers to the nearest tenth.)
where do i even start?

Answer by chessace(471) About Me  (Show Source):
You can put this solution on YOUR website!
Figure missing doesn't help. Assuming the freeway is 2 straight lines with a 90 degree turn, then use Pythag: x^2 + (7-x)^2 = 6^2
Use quadratic formula.