Question

What is the approximate value of b, rounded to the nearest tenth?

Answer 1

Not 100% sure but the most accurate answer is D! 9.4 units!!!! :) hope this helps!!! If not I'm sorry

Answer 2

we know that

m∠ZWY=m∠WXY --------> given problem

so

In the right triangle ZWY

$tan\ ZWY=\frac{ZY}{YW}=\frac{5}{6}$

In the right triangle XWY

$tan\ WXY=\frac{WY}{XY}=\frac{6}{a}$

$\frac{6}{a} =\frac{5}{6} \\ \\5*a=6*6 \\ \\a=\frac{36}{5}=7.2\ units$

Find the value of b

Applying the Pythagorean Theorem

In the right triangle XWY

$b^{2}=6^{2}+a^{2} \\b^{2}=6^{2}+7.2^{2}\\b^{2}=87.84\\ b= 9.4\ units$

therefore

the answer is the option

D) 9.4 units