Respuesta :
I didnt wprk the problem out but i looked it upbecause i had it on a recent test so i hope it helped.
= 649.5 ft
= 649.5 ft
Answer:
The entire root is approximately 649.53 feet.
Step-by-step explanation:
Let the triangle is ABC,
Where, AB = AC = 245 feet,
∠A = 38°,
By the cosine law,
[tex]BC^2=AB^2+AC^2-2\times AB\times AC cos A[/tex]
[tex]=245^2+245^2-2\times 245\times 245 cos 38^{\circ}[/tex]
[tex]=245^2(1+1-2cos38^{\circ})[/tex]
[tex]=60025\times 2(1-cos 38^{\circ})[/tex]
[tex]=25449.309[/tex]
[tex]\implies BC\approx 159.53\text{ feet}[/tex]
Hence, the length of the entire root = AB + BC + CA
= 245 + 159.53 + 245
= 649.53 feet.