Question

Please help me with this question thanks

Answer 1

Answer:

x = 40.375

Step-by-step explanation:

ΔYVH and ΔYBA are similar. Therefore the corresponding sides are in proportion:

$\dfrac{YH}{YA}=\dfrac{YV}{YB}$

We have

$YH=x,\ YA=17,\ YV=16+22=38,\ YB=16$

Substitute:

$\dfrac{x}{17}=\dfrac{38}{16}$            cross multiply

$16x=(17)(38)$              divdie both sides by 16

$x=\dfrac{(17)(38)}{16}\\\\x=40.375$