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lara [203]
3 years ago
5

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

Mathematics
2 answers:
Lostsunrise [7]3 years ago
6 0
Not 100% sure but the most accurate answer is D! 9.4 units!!!! :) hope this helps!!! If not I'm sorry
ozzi3 years ago
4 0

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

<u>Find the value of b</u>

<u>Applying the Pythagorean Theorem</u>

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

<u>the answer is the option</u>

D) 9.4 units

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