I/GCSE Mathematics Question Analysis Topic: Mathematics - Short Questions
Exam Questions:
1) The angle of elevation of a tower from a point 150 m away from foot of tower is 60∘. Find the height of the tower.
2) A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probability of getting neither a red card nor a queen.
Answers:
For I/GCSE Mathematics, you should know:
1) Given: angle of elevation is 60 degrees.
The distance from the tower is BC = 150 m
The height of the tower is AB = h.
tan 60 = AB / BC = Height / Distance, therefore tan 60 = h / 150
h = √3 x 150
h = 150√3 m.
2) We know that in a deck of 52 cards, 26 of them are red.
We also know that there are 4 queens in a deck of cards, in which two are red and two black.
Hence, the number of cards that are neither red nor queen is 52 - (26 + 2) = 24.
As such, the probability of getting a red card OR a queen is 24 /52 = 6/13.
Work hard for your I/GCSE Mathematics examination!
End of analysis. Great!