Find the elevation of point B. Prism 4.68 B L = 226.37' 51.71 Instrument 5.65' BM 1 elevation = 700.90 ft- uestion 4 For the geometry from question 4, what is the horizontal distance between the benchmark and point B?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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how to do both qustion 

### Problem Statement

**Find the elevation of point B.**

### Diagram Description

The diagram shows a setup for determining the elevation of point B using a surveying method. Key features include:

- A prism located above point B at a height of 4.68 feet.
- A line of sight from an instrument to the prism, forming an angle of 51.71° with the horizontal.
- The horizontal distance from the instrument to the prism is labeled as L = 226.37 feet.
- The elevation of a benchmark (BM) is given as 700.90 feet, where the instrument is set up.
- The instrument height is specified as 5.65 feet above the benchmark level.

### Question 4

**For the geometry from question 4, what is the horizontal distance between the benchmark and point B?**

This question seeks the horizontal distance, derived from the setup using trigonometric calculations based on the given angle and line length.
Transcribed Image Text:### Problem Statement **Find the elevation of point B.** ### Diagram Description The diagram shows a setup for determining the elevation of point B using a surveying method. Key features include: - A prism located above point B at a height of 4.68 feet. - A line of sight from an instrument to the prism, forming an angle of 51.71° with the horizontal. - The horizontal distance from the instrument to the prism is labeled as L = 226.37 feet. - The elevation of a benchmark (BM) is given as 700.90 feet, where the instrument is set up. - The instrument height is specified as 5.65 feet above the benchmark level. ### Question 4 **For the geometry from question 4, what is the horizontal distance between the benchmark and point B?** This question seeks the horizontal distance, derived from the setup using trigonometric calculations based on the given angle and line length.
Expert Solution
Step 1

The answers are,

Elevation of point B is 842.138 feet

Horizantal distance between benchmark and B is 177.674 feet.

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