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Top of the bridge Theodolite 22° height 1.2 m Bottom of 57.25 m the bridge Diagram not to scale Calculate the height from the top of the bridge at B to the ground vertically below at A to the nearest centimetre.

Top of the bridge Theodolite 22° height 1.2 m Bottom of 57.25 m the bridge Diagram not to scale Calculate the height from the top of the bridge at B to the ground vertically below at A to the nearest centimetre.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Top of the bridge Theodolite 22° height 1.2 m Bottom of 57.25 m the bridge Diagram not to scale Calculate the height from the top of the bridge at B to the ground vertically below at A to the nearest centimetre.
Transcribed Image Text:Top of the bridge Theodolite 22° height 1.2 m Bottom of 57.25 m the bridge Diagram not to scale Calculate the height from the top of the bridge at B to the ground vertically below at A to the nearest centimetre.
An engineer is examining a weak bridge from a safe distance. In order to make a calculation for the height of the bridge to the ground vertically below she uses a measuring instrument called a theodolite that allows her to measure angles accurately. The theodolite is set at a height of 1.2 metres (m). It is placed 57.25 m, to the nearest centimetre, from the point A at the bottom of the bridge. The angle of elevation from the horizontal to the top of the arch at B is measured at 22° to the nearest degree. This information is shown in the animation below.
Transcribed Image Text:An engineer is examining a weak bridge from a safe distance. In order to make a calculation for the height of the bridge to the ground vertically below she uses a measuring instrument called a theodolite that allows her to measure angles accurately. The theodolite is set at a height of 1.2 metres (m). It is placed 57.25 m, to the nearest centimetre, from the point A at the bottom of the bridge. The angle of elevation from the horizontal to the top of the arch at B is measured at 22° to the nearest degree. This information is shown in the animation below.
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