Top ofthe bridgeTheodolite22°height1.2 mBottom of57.25 mthe bridgeDiagram not to scaleCalculate the height from the top of the bridge at B to the ground vertically below at A to thenearest centimetre. An engineer is examining a weak bridge from a safe distance. In order to make a calculation forthe height of the bridge to the ground vertically below she uses a measuring instrument called atheodolite that allows her to measure angles accurately. The theodolite is set at a height of1.2 metres (m). It is placed 57.25 m, to the nearest centimetre, from the point A at the bottom ofthe bridge. The angle of elevation from the horizontal to the top of the arch at B is measured at22° to the nearest degree. This information is shown in the animation below.

Answered: Image /qna-images/answer/0dcce88b-8f19-4a3d-9c10-3478637775fc.jpg

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.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter5: Similar Triangles

Section5.5: Special Right Triangles

Problem 25E: A jogger runs along two sides of an open rectangular lot. If the first side of the lot is 200 ft...

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Question

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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.

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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