Thursday 28 November 2013

Zul's Dillema


Zul is standing on the tee of the last hole of the Australian All Stars Golf Tournament. The plan of the hole is shown here.
Most players play two shots around the water hazard and then have two putts to get their par 4. Zul needs a 3 on this hole to win the tournament, and he has not been putting very well all day. He knows that he can usually hit a golf ball 250 m and if he swings perfectly he can hit a ball 260 m.
Should he be adventurous and try to hit across the water hazard? If he lands in the water he will be penalised two strokes and will therefore lose the tournament. Or should he take the safe path around the water hazard and try to win with his putter?
Zul and his caddie have a map of the hole on their scorecard and they are trying to do some quick mathematics. The caddie has drawn a rough scale diagram and is measuring the distance with a small ruler.


1     What is the scale of the caddie’s diagram?

2     How far is it to the hole?

3     Should Zul play the shot over the water?


4     Should Zul trust his caddie’s quick, rough calculations, or is there a more accurate method for calculating the required distance?

7 comments:

Hudzaifah Al-Hijri said...
This comment has been removed by the author.
Hudzaifah Al-Hijri said...

Huzi and Ataa's answer:

1. 1:2000
2. 260 m
3. It depends whether or not he hits perfectly. If he hits perfectly then he can still make it, but if he can't, it's better that he doesn't.
4.Using Pythagoras' theorem:
a(2) = b(2) + c(2)
a(2) = 170(2) + 190(2)

Unknown said...

ariq and bagas' answer:

1) 1:2000
2) 260m
3) it depends on him, if his swing is perfect he might reach 260m. he should also calculate the wind.
4) a(2) = 170(2) + 190(2)

Unknown said...

1) 1:2000
2) 13 x 2000 = 260 m
3) mr. zul can shot over the water but, mr. zul has to shot perfectly
4) yes, and with phytagoras

-Indah, Shoffa, and Tsamara-

Raissa Hanan said...

Raissa and angela's answer
1) 8.5/9.5 = 170/190 --->8.5 :170m --> 8.5:17000cm --> 8.5/8.5= 17000/8.5= Goal = 1: 2000
2) 13 x 2000= 26.000
3) Mr zul can shot the ball over the water but he must swing it perfectly.
4) Yes there's another method that more accurate by using phytagoras.

Unknown said...

Dika's answer
1) 1:2000
2) 26000
3) Yes,if he swings perfectly
4) a(2)=190(2)+170(2)

Fatimah said...

Fatimah and Pristna's Answers:

1. 1:2000
2. 260m
3. Yes! Since Mr. Zul wants t win the game, he should try to shoot with the least number of shots. Moreover, if he perfectl swings the bat, he can shoot the ball directly to the hall through the water, and if only he fails, at least the ball won't go into the water becaue normally, he can shoot 250m. And 250m already pass the water.
4. Well, since the diagram is rough... I think you'd better not to trust Mister ._.