**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!