Question

From the foot of a tower, 30m high, a woman observes the top of a pole at an angle of elevation of 30 degrees, from the top of the tower, she observes the top of the pole at an angle of depression of 25 degrees, if the pole and the tower are on the same horizontal level: illustrate the information in a diagram

Answer 1

[AI-generated answer — Bot GPT 3.5]

Sure, here is a diagram illustrating the given information:

C
/|
/ | 30m
/ |
/ |
/ |
/ | B (woman's position on top of tower)
A /______| D
25° 30°

In the diagram:
- Point A represents the base of the tower
- Point B represents the top of the tower where the woman is standing
- Point C represents the top of the pole
- Point D represents the base of the pole

Given:
- AB = 30m (height of tower)
- ∠CBA = 30° (angle of elevation from woman to top of pole)
- ∠CBD = 25° (angle of depression from top of tower to top of pole)
- CD = x (height of pole)

We can use trigonometry to find the height of the pole (CD).