Question

Find the length of Lw

Answer 1

Answer:

$LW=17.5\ units$

Step-by-step explanation:

we know that

In the right triangle LAY

Find the measure of side LY applying the Pythagoras Theorem

$LY^{2} =3.5^{2}+ 7.0^{2} \\ \\ LY^{2} =61.25\\ \\ LY=\sqrt{61.25}\ units$

Find the cosine of angle ALY

$cos($

$cos($ -----> equation A

In the right triangle LWY

$cos($

$cos($ -----> equation B

equate equation A and equation B and solve for LW

$\frac{3.5}{\sqrt{61.25}}=\frac{\sqrt{61.25}}{LW}$

$LW=(\sqrt{61.25})(\sqrt{61.25})/3.5$

$LW=17.5\ units$