Jamal draws triangle XYZ. If angle X=46 degrees, XZ = 10 degrees, and YZ=8 degrees, what is the approximate length of XY?

Mathematics

2 answers:

Mashutka [201]2 years ago

5 0

<span>In triangle XYZ,
angle X=46 degrees,
XZ = 10 units and
YZ=8 units.

We will find the length of XY using cosine rule:

According to cosine rule:

a² = b² + c² - 2bc cosA (the figure is attached)
Here, A = 46 degree.
a = 8 units.
b <span>= ?
</span>c = 10 units.
</span>⇒  b² = c² - a² -2bc cosA
⇒  b² = 100 - 64 - 160*cos(46)
⇒  b² = 100 - 64 - 160*0.69
⇒  b² = 100 - 64 - 110.4
⇒  b² = 100 - 64 - 110.4
⇒ b² = 74.4
or b = 8.62 units.
or b = 8 untis approximately.

defon2 years ago

4 0

According to edjenuity the answer is

A. 3.4 or 10.5

hope this helps

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