Determine on which side is the steering wheel disposed in the car depicted in the figure.
Problem
Source: Sharygin Final 2007 8.1
Tags: geometry
RC.
30.04.2019 12:50
Right side
aops-g5-gethsemanea2
06.03.2022 15:40
wait but how?
DottedCaculator
06.03.2022 15:41
look at a car
sunken rock
06.03.2022 16:20
try trigonometric!
aops-g5-gethsemanea2
07.03.2022 04:52
DottedCaculator wrote: look at a car the cars here are left side
GoodMorning
07.03.2022 05:21
Trivial by Jensen's.
teasaffrontaffy
07.03.2022 05:26
Most of you guys are wrong. The car doesn't have a steering wheel. If you look at any car from that viewpoint, you'll be able to see the dashboard and the steering wheel. In this car, you see nothing. It's just one shade of blue. I hypothesize that it could be an autopiloted car, or a toy car. There is a possibility that the windows are covered up, but I don't see any reason why the car would be this way. If it were, it would be undriveable.
eduD_looC
07.03.2022 05:41
how is this an hso problem from a real competition?
samrocksnature
07.03.2022 05:43
uh doesn't it depend on the country the car is from
KevinShen100
07.03.2022 05:51
@above It does, actually. Cars from the northern hemisphere have the steering wheel on the left. Cars from the southern hemisphere have the steering wheel on the right.
RP3.1415
07.03.2022 05:54
idk if this works but its the only approach I can think of so hopefully it does work, but I wouldn't be surprised if it doesnt work.
We claim that the driver is on the right side. We look at the mirrors. Notice that the left mirror looks more angled towards the car (small acute angle) and the right appears to be angled away (bigger angle). (You could go off of experience driving here to finish but thats not rigorous) You should be able to see a tiny bit of the car and directly behind it in the mirrors. Now just draw rough "sight lines" in each mirror from each seat in a 2d overhead sketch of the car.
Driver on left:
Driver on right:
Clearly, the driver assuming they know how to drive is on the right.
aops-g5-gethsemanea2
07.03.2022 15:04
RP3.1415 wrote: idk if this works but its the only approach I can think of so hopefully it does work, but I wouldn't be surprised if it doesnt work.
We claim that the driver is on the right side. We look at the mirrors. Notice that the left mirror looks more angled towards the car (small acute angle) and the right appears to be angled away (bigger angle). (You could go off of experience driving here to finish but thats not rigorous) You should be able to see a tiny bit of the car and directly behind it in the mirrors. Now just draw rough "sight lines" in each mirror from each seat in a 2d overhead sketch of the car.
Driver on left:
Driver on right:
Clearly, the driver assuming they know how to drive is on the right.
yeah i get your point. it's very surprising that i actually noticed the mirrors' angles but i didn't know how to use it. teasaffrontaffy wrote: Most of you guys are wrong. The car doesn't have a steering wheel. If you look at any car from that viewpoint, you'll be able to see the dashboard and the steering wheel. In this car, you see nothing. It's just one shade of blue. I hypothesize that it could be an autopiloted car, or a toy car. There is a possibility that the windows are covered up, but I don't see any reason why the car would be this way. If it were, it would be undriveable. maybe they didn't want us to use the windows. also, i'm just wondering, does sharygin have official solutions for 2007 problems like this? eduD_looC wrote: how is this an hso problem from a real competition? well i'm not sure but maybe they wanted to give points? plus this is for grade 8 so... (also i'm grade 6 so i didn't realize how to use the mirrors like how rp did it.)
parmenides51
07.03.2022 15:28
In rear-view mirrors, the driver should see the road behind the car. To do this, the mirror on the driver's side must be located almost perpendicular to the axis of the car, a. on the opposite side - at an angle approximately equal to 45 °. Therefore, the car in the figure has a steering wheel on the right.
original wordingВ зеркалах заднего вида, водитель должен видеть дорогу сзади автомобиля. Для этого зеркало со стороны водителя должно располагаться почти перпендикулярно оси автомобиля, а. с противоположной стороны — под углом, примерно равным 45°. Следовательно, у автомобиля на рисунке руль справа.
RP3.1415
07.03.2022 17:03
aops-g5-gethsemanea2 wrote: RP3.1415 wrote: idk if this works but its the only approach I can think of so hopefully it does work, but I wouldn't be surprised if it doesnt work.
We claim that the driver is on the right side. We look at the mirrors. Notice that the left mirror looks more angled towards the car (small acute angle) and the right appears to be angled away (bigger angle). (You could go off of experience driving here to finish but thats not rigorous) You should be able to see a tiny bit of the car and directly behind it in the mirrors. Now just draw rough "sight lines" in each mirror from each seat in a 2d overhead sketch of the car.
Driver on left:
Driver on right:
Clearly, the driver assuming they know how to drive is on the right.
yeah i get your point. it's very surprising that i actually noticed the mirrors' angles but i didn't know how to use it. Well I'm glad you get my point as its a full solution The only reason I probably noticed how to use the mirrors is because I was out learning to drive a bit before that and I remembered how I had to change the angle of the mirrors a bit since I'm a bit shorter than my dad. xd