In this activity you are asked to determine the height h • s will be given to you outside s = 60 ft • assume that the height of the team member that measured the angle = 6 ft

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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**Activity Instructions: Determine the Height**

### Objective:
In this activity, you are asked to determine the height of a building using the given information.

### Diagram Explanation:
- The diagram shows a right triangle formed between a point on the ground (where measurements are taken) and the top of a building.
- The horizontal distance from the measurement point to the base of the building is represented as \( s \).
- The height you want to determine is marked as \( h \).
- Two angles are measured from the ground to the top of the building:
  - \( \alpha \) (the angle of elevation from the ground to the top of the building)
  - \( \beta \) (an additional angle which seems to be required but is unspecified in this context)

### Parameters:
- **Distance \( s \):** The horizontal distance from the measurement point to the building is given as 60 feet.
- **Height of the observer:** The height of the team member who measures the angle is 6 feet.
- **Angles:** You will find \( \alpha \) and \( \beta \). (Note: Specific values are needed to proceed with calculations)

### Tasks:
1. Use the given distance and height of the observer to calculate the angle of elevation to the top of the building.
2. Determine the height \( h \) of the building using trigonometric relationships.
Transcribed Image Text:**Activity Instructions: Determine the Height** ### Objective: In this activity, you are asked to determine the height of a building using the given information. ### Diagram Explanation: - The diagram shows a right triangle formed between a point on the ground (where measurements are taken) and the top of a building. - The horizontal distance from the measurement point to the base of the building is represented as \( s \). - The height you want to determine is marked as \( h \). - Two angles are measured from the ground to the top of the building: - \( \alpha \) (the angle of elevation from the ground to the top of the building) - \( \beta \) (an additional angle which seems to be required but is unspecified in this context) ### Parameters: - **Distance \( s \):** The horizontal distance from the measurement point to the building is given as 60 feet. - **Height of the observer:** The height of the team member who measures the angle is 6 feet. - **Angles:** You will find \( \alpha \) and \( \beta \). (Note: Specific values are needed to proceed with calculations) ### Tasks: 1. Use the given distance and height of the observer to calculate the angle of elevation to the top of the building. 2. Determine the height \( h \) of the building using trigonometric relationships.
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