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photoshop1234 [79]
3 years ago
8

Find the length of Lw

Mathematics
1 answer:
pav-90 [236]3 years ago
4 0

Answer:

LW=17.5\ units

Step-by-step explanation:

we know that

<em>In the right triangle LAY</em>

<em>Find the measure of side LY applying the Pythagoras Theorem</em>

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

<em>In the right triangle LWY</em>

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

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