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Question Number 198288 by Safojon last updated on 16/Oct/23

Answered by mr W last updated on 17/Oct/23

$$4+a=a\cosh \frac{b}{2a}$$$$11=a\sinh \frac{b}{2a}$$$${(4+a)}^2-{11}^2=a^2$$$$\Rightarrow a=\frac{105}{8}$$$$\frac{b}{2a}={\sinh }^{-1}\frac{11}{a}={\sinh }^{-1}\frac{88}{105}$$$$\Rightarrow ?=b=2\times \frac{105}{8}\times {\sinh }^{-1}\frac{88}{105}\approx 20.006m$$

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