Question

From a window of a building 45 metre above ground level, the angle of depression of a car on level ground is 42 degrees. how far is the car from the building?

Answer 1

QUESTION

From a window of a building 45 metre above ground level, the angle of depression of a car on level ground is 42 degrees. how far is the car from the building?

SOLUTION

From the right triangle on the picture above, it can be seen that

$$t g 4 2 = \frac {4 5}{L}$$

Hence

$$L = 4 5 \cdot t g 4 2 = 4 0. 5 2 m$$

ANSWER

40.52 m