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Alexus [3.1K]
3 years ago
6

Solve the triangle give the measure of y

Mathematics
1 answer:
pishuonlain [190]3 years ago
4 0

Given:

In triangle BGU,BG=x,GU=7,BU=y,m\angle U=90^\circ,m\angle B=44^\circ.

To find:

The value of y.

Solution:

In a right angle triangle,

\tan \theta=\dfrac{Perpendicular}{Base}

In triangle BGU,

\tan B=\dfrac{GU}{BU}

\tan 44^\circ=\dfrac{7}{y}

0.966=\dfrac{7}{y}

Isolating y, we get

y=\dfrac{7}{0.966}

y=7.2463

y\approx 7.2

Therefore, the correct option is A.

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