August 5, 2023
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!