Question

Encontre a altura que a vela do barco alcança.

Answer 1

$y= ? \\ \\ (2m)^2= (1,2m)^2+y^2 \\ \\ 4m^2= 1,44m^2+y^2 \\ \\ 4m^2-1,44m^2= y^2 \\ \\ 2,56m^2= y^2 \\ \\ \sqrt{2,56m^2 } = y\qquad \to \boxed{y= 1,6\ m} \\ \\ \\ \\ x=? \\ \\ (6,5m)^2= (4,2m)^2+(x+y)^2 \\ \\42,25m^2= 17,64m^2+(x+1,6m)^2 \\ \\42,25m^2- 17,64m^2= (x+1,6m)^2 \\ \\ 24,61m^2= (x+1,6m)^2 \\ \\ \sqrt{24,61m^2}= x+1,6m \\ \\ 4,96m-1,6m=x \\ \\ \boxed{3,36m}$