Right triangles 1-2 and 3 are given with all their angle measures and approximate side lengths.

Use one of the triangles to approximate the ratio WY/WX

A. 0.34
B. 0.94
C. 1.06
D. 2.76​

Right triangles 12 and 3 are given with all their angle measures and approximate side lengths Use one of the triangles to approximate the ratio WYWXA 034B 094C class=

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Answer:

0.34

Step-by-step explanation:

Considering the right-angled triangle XYW, an approximate ratio WY/WX is equal to 0.34. The correct option is A.

What is a right-angled triangle?

A right triangle is a triangle in which one of the angles is at a right angle or two of the sides are perpendicular, or more formally, an orthogonal triangle, formerly known as a rectangle triangle. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

Considering the right-angled triangle XYW, we would apply the law of cosine to approximate the ratio WY/WX. Mathematically, the law of cosine is given by:

cos(θ) = Adj/Hyp

Where:

Adj is the adjacent side of a right-angled triangle.

Hyp is the hypotenuse of a right-angled triangle.

θ is the angle.

Substituting the given parameters into the formula, we have;

cos(θ) = WY/WX

cos(70) = 3.4/10

0.34 = 0.34.

Therefore, the correct option is A.

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