Mason Construction wants to connect two parks on opposite sides of town with a road. Surveyors have **** out a map as shown. The road can be built through the town or around town through point R. The roads intersect at a right angle at point R. The line joining Park A to Park B is parallel to the line joining C and D.
(i) What is the distance between the parks through town?
(ii) What is the distance from Park A to Park B through point R?
| | (i) | (ii) | | (A) | 9 m | 13 m | | (B) | 8 m | 12. 5 m | | (C) | 8.75 m | 12 m | | (D) | 9 m | 14 m |
The correct option is: (c)
Explanation:
(i) Since, CD||AB [Given]
i.e., Distance between the parks through town is 8.75 m.
(ii) In right ΔCRD, we have
i. e., Distance from Park A to Park B through point R = AR + RB
= 4.5 m +7.5 m = 12 m
