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**GCSE** **Mathematics**** Question Analysis Topic: Mathematics - Trigonometry**

**Exam Question:**

The angle of depression of a car parked on the road from the top of a 150 m high tower is 30^{∘}. The distance of the car from the tower (in metres) is..?

**Answer:**

For GCSE Mathematics, you should know:

Let's consider the givens i.e., **height of tower = 150m, angle of depression = 30**^{∘}.

Then, draft the following diagram.

In triangle ABC, let the distance of the car from the tower (**BC**) be x m.

As such, **tan 30**^{∘} in **triangle ABC **would be **AC / AB** = 1 / √3, i.e. the distance between the tower and the car is **AC = 150√3**.

Work hard for your GCSE Mathematics examination!

End of analysis. Great!