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Firdavs [7]
3 years ago
9

In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segm

ent YZ is 15.1 cm. Which is the approximate measure of angle YZX?
A .34.8°
B .39.4°
C .50.6°
D. 55.2°
Mathematics
2 answers:
Usimov [2.4K]3 years ago
5 0

we know that

In the right triangle XYZ

tan (YZX)=\frac{opposite\ side\ angle\ YZX}{adjacent\ side\ angle\ YZX}

in this problem

opposite\ side\ angle\ YZX=XY=12.4\ cm\\adjacent\ side\ angle\ YZX=YZ=15.1\ cm

substitute the values

tan (YZX)=\frac{12.4}{15.1}

Angle (YZX)=arc\ tan (12.4/15.1)

Angle (YZX)=39.4\°

therefore

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

B .39.4°

tekilochka [14]3 years ago
3 0
Angle YZX=Z
Data:
opposite=12.4
adjacent=15.1

tan Ф= opposite/adjacent
tan Z=12.4/15.1
tan Z=0.82
Z=tan⁻¹(0.82)≈39.4

Answer: B.  39.4º
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