Determiner-x-

Question Number 198815 by a.lgnaoui last updated on 24/Oct/23

Determiner x

Commented by a.lgnaoui last updated on 24/Oct/23

Commented by cherokeesay last updated on 24/Oct/23

Commented by a.lgnaoui last updated on 24/Oct/23

exact

we can use the rectangle triangle

ADB

{DE}^{2} = AE \times EB (DE = x + 6)

{(x + 6)}^{2} = (R + z \cos α) (R - z \cos α)

= R^{2} - z^{2} \cos^{2} α

\sin α = \frac{6}{z} \cos^{2} α = \frac{z^{2} - 36}{z^{2}}

R^{2} = 64 + z^{2}

\Rightarrow x^{2} + 12 x + 36 = 64 + 36

x^{2} + 12 x - 64 = 0 x = 4