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The problem describes an application of trigonometry in a triangle formed by two observation points, \( P \) and \( L \), and a tree in the middle. Here's a breakdown of the problem:

1. Pablo and Laura measure the angles of elevation to the tree from their respective points:
   - From point \( P \), the angle of elevation is \( 45^\circ \).
   - From point \( L \), the angle of elevation is \( 35^\circ \).

2. The distance between the two observation points \( P \) and \( L \) is 30 meters.

### Objective:
- **Part a:** Find the height of the tree.
- **Part b:** Find the distance from point \( P \) to the tree.

### Approach:
We'll use the Law of Sines and some trigonometry to solve this.

1. **Using the Law of Sines:**
   The angles at points \( P \), \( L \), and the top of the tree form a triangle. We can use the Law of Sines to solve this, knowing:
   - The

Pablo y Laura miden el ángulo de elevación de un árbol desde dos puntos, P y L, a 30 m de distancia entre sí. El ángulo de elevación desde P es de 45° y desde L es de 35°. ¿Cuál es la altura del árbol y la distancia de P al árbol?

Learn how to solve a trigonometric problem involving angles of elevation and distances to determine the height of a tree. Pablo and Laura observe the tree from points 30 meters apart with angles of elevation of 45° and 35°. This solution applies the Law of Sines and trigonometric functions to find the height and distances.

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