UP TGT Mathematics Complex Numbers Test Series - Part 4

The shadow of a vertical tower on a level ground increases by 10 meters when the altitude of the sun changes from 45° to...

Type: MCQ • Marks: 1
The shadow of a vertical tower on a level ground increases by 10 meters when the altitude of the sun changes from 45° to 30°. The height of the tower is:
Options
A. 10√3 m
B. 5√3 m
C. 10(√3 - 1) m
D. 5(√3 + 1) m
Explanation
h(cot 30° - cot 45°) = 10 => h = 10 / (√3 - 1) = 5(√3 + 1) m.
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