Question

Find the length of Lw

Answer 1

There

Explanation:

Answer 2

`LW=17.5\ units`

Explanation:

we know that

In the right triangle LAY

Find the measure of side LY applying the Pythagoras Theorem

`LY^(2) =3.5^(2)+ 7.0^(2) \\ \\ LY^(2) =61.25\\ \\ LY=√(61.25)\ units`

Find the cosine of angle ALY

`cos(<ALY)=(LA)/(LY)`

`cos(<ALY)=(3.5)/(√(61.25))` -----> equation A

In the right triangle LWY

`cos(<ALY)=(LY)/(LW)`

`cos(<ALY)=(√(61.25))/(LW)` -----> equation B

equate equation A and equation B and solve for LW

`(3.5)/(√(61.25))=(√(61.25))/(LW)`

`LW=(√(61.25))(√(61.25))/3.5`

`LW=17.5\ units`