15. A bridge 100 m long is to be built to span a valley as shown. From point A, the angle of depression is 40", and from point B the angle of depression is 71". If a supporting pier is to be constructed (x), find its height, to the nearest tenth of a metre. 100 m B 40° a) 72.8 m 71 b) 68.9 m c) 65.1 m d) 64.0 m e) 44.3 m

Structural Analysis
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Chapter2: Loads On Structures
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15. A bridge 100 m long is to be built to span a valley as shown. From point A, the angle of
depression is 40", and from point B the angle of depression is 71". If a supporting pier is to be
constructed (x), find its height, to the nearest tenth of a metre.
100 m
40°
a) 72.8 m
71
b) 68.9 m
c) 65.1 m
d) 64.0 m
e) 44.3 m
Transcribed Image Text:15. A bridge 100 m long is to be built to span a valley as shown. From point A, the angle of depression is 40", and from point B the angle of depression is 71". If a supporting pier is to be constructed (x), find its height, to the nearest tenth of a metre. 100 m 40° a) 72.8 m 71 b) 68.9 m c) 65.1 m d) 64.0 m e) 44.3 m
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