Find the distance between the observer and the base of the pedestal. Give your answer to the nearest 100 meters. **Problem:**2) From a point at eye level with the base of the pedestal of the Statue of Liberty, an observer found the angle of elevation of the top of the torch to be 3°37’. From the same point, the angle of elevation of the foot of the statue was 1°51’. The distance between the top of the torch and the foot of the statue is 46 meters, and the height of the pedestal alone is 49 meters. Find the distance between the observer and the base of the pedestal. Give your answer to the nearest 100 meters.**Diagram Explanation:**The image includes a right triangle diagram representing the situation:- Point A is the observer's position.- Line segment AC is the horizontal line from the observer to the base of the pedestal.- Line segment CD represents the pedestal height of 49 meters.- Line segment BD is the vertical line from the top of the statue's torch to point C (the top of the pedestal).- D is the top of the torch. The angles:- Angle BAC is 1°51’, which is the angle of elevation to the foot of the statue.- Angle BAD is 3°37’, which is the angle of elevation to the top of the torch.The task is to calculate the horizontal distance AC.

2) From a point at eye level with the base of the pedestal of the Statue of Liberty, an observer found the angle of elevation of the top of the torch to be 3°37'. From the same point, the angle of elevation of the foot of the statue was 1°51'. The distance between the top of the torch and the foot of the statue is 46 meters, and the height of the pedestal alone is 49 meters. Find the distance between the observer and the base of the pedestal. Give your answer to the nearest 100 meters. 3°37' D B C T 46 m 49 m

2) From a point at eye level with the base of the pedestal of the Statue of Liberty, an observer found the angle of elevation of the top of the torch to be 3°37'. From the same point, the angle of elevation of the foot of the statue was 1°51'. The distance between the top of the torch and the foot of the statue is 46 meters, and the height of the pedestal alone is 49 meters. Find the distance between the observer and the base of the pedestal. Give your answer to the nearest 100 meters. 3°37' D B C T 46 m 49 m

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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Question

Find the distance between the observer and the base of the pedestal. Give your answer to the nearest 100 meters.

**Problem:**

2) From a point at eye level with the base of the pedestal of the Statue of Liberty, an observer found the angle of elevation of the top of the torch to be 3°37’. From the same point, the angle of elevation of the foot of the statue was 1°51’. The distance between the top of the torch and the foot of the statue is 46 meters, and the height of the pedestal alone is 49 meters. Find the distance between the observer and the base of the pedestal. Give your answer to the nearest 100 meters.

**Diagram Explanation:**

The image includes a right triangle diagram representing the situation:

- Point A is the observer's position.
- Line segment AC is the horizontal line from the observer to the base of the pedestal.
- Line segment CD represents the pedestal height of 49 meters.
- Line segment BD is the vertical line from the top of the statue's torch to point C (the top of the pedestal).
- D is the top of the torch.

The angles:
- Angle BAC is 1°51’, which is the angle of elevation to the foot of the statue.
- Angle BAD is 3°37’, which is the angle of elevation to the top of the torch.

The task is to calculate the horizontal distance AC.

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