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Refer the attachment.
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Since tower stands for angle 90°.
→ tan 60° = (1.6 + x)/Base
→ √3 = (1.6 + x)/Base
→ Base = (1.6+ x)/√3
→ tan 45° = Pedestal/Base
→ 1 = x/Base
→ Base = x
→ x = (1.6 + x)/√3
→ √3x = 1.6 + x
→ x(√3 - 1) = 1.6
→ x = 1.6/(√3 - 1) × (√3 + 1)/(√3 + 1)
→ x = 1.6(√3 + 1)/2
→ x = 0.8 × (1.732 + 1)
→ x = 1.639 m
Hence height of pedestal is 1639 cm.
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