a boy standing on the top of a tower which is 20 m high observes the angle of elevation of the top of the hill as 60 degree and the angle of depression of the base of the hills 30 degrees calculate height of the hill along with  named figure 

Let's solve this problem step by step and create a labeled figure to help visualize it.

### Problem Analysis

Given:
- Height of the tower (\(AB\)) = 20 meters.
- Angle of elevation from the top of the tower to the top of the hill (\(C\)) = 60°.
- Angle of depression from the top of the tower to the base of the hill (\(D\)) = 30°.

Objective: Calculate the height of the hill (\(CD\)).

### Diagram and Solution

Let’s label the points in the diagram:
1. Let \( A \) be the top of the tower.
2. Let \( B \) be the base of the tower.
3. Let \( C \) be the top of the hill.
4. Let \( D \) be the base of the hill on the same horizontal level as \( B \).

The distance \(

A boy standing on the top of a tower which is 20 m high observes the angle of elevation of the top of the hill as 60 degrees and the angle of depression of the base of the hill as 30 degrees. Calculate the height of the hill along with a named figure.

Learn how to calculate the height of a hill when given the angles of elevation and depression from a 20 m high tower. This problem explores trigonometric concepts, such as right triangles, and includes a step-by-step solution with a labeled diagram. Suitable for Grades 9-11.

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