Answer: 38.6 m
Step-by-step explanation:
In the given picture there is a right triangle ABC with hypotenuse AB as 'x' meters.
By trigonometry in right triangle ABC we have ,
[tex]\cos 75^{\circ}=\frac{\text{Side adjacent to }75^{\circ}}{\text{Hypotenuse}}\\\\\Rightarrow0.2588190451=\frac{10}{x}\\\\\Rightarrow\ x=\frac{10}{0.2588190451}\\\\\Rightarrow\ x=38.6370330519\approx38.6\ m[/tex]
Hence, the length of AB = 38.6 m
