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Marizza181 [45]
3 years ago
10

Find the size of angle xyz give your answer to 3 significant figures

Mathematics
1 answer:
KengaRu [80]3 years ago
8 0

Answer:

<u>68.2°</u>

Step-by-step explanation:

This is a right triangle, so we can use SIN,COS,TAN to solve for the angle.

We want ∠YXZ

THe side opposite to the angle is given as 20

The side adjacent to the angle is given as 8

Which trig ratio relates "opposite" and "adjacent"??

It is Tan!!

Thus, we can write:

Tan(\angle YXZ)=\frac{20}{8}\\Tan(\angle YXZ)=\frac{5}{2}\\Tan(\angle YXZ)=2.5\\\angle YXZ = ArcTan(2.5)\\\angle YXZ = 68.2

THis is the angle

<u>68.2°</u>

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