Answer:
x = 40.375
Step-by-step explanation:
ΔYVH and ΔYBA are similar. Therefore the corresponding sides are in proportion:
[tex]\dfrac{YH}{YA}=\dfrac{YV}{YB}[/tex]
We have
[tex]YH=x,\ YA=17,\ YV=16+22=38,\ YB=16[/tex]
Substitute:
[tex]\dfrac{x}{17}=\dfrac{38}{16}[/tex] cross multiply
[tex]16x=(17)(38)[/tex] divdie both sides by 16
[tex]x=\dfrac{(17)(38)}{16}\\\\x=40.375[/tex]
