Question

Which is the best approximation for the measure of angle EGF? 32.8° 40.2° 49.8° 57.2°

Answer 1

Angle EGF = x

Sin x = 12/18.6

Sinx ≈ 0.6452

x ≈ Sin⁻¹(0.6452).      Use a calculator.

x ≈ 40.18°

x ≈ 40.2°

Second option.

Answer 2

The measure of the angle x is 40.2 degrees after applying the sin ratio option second 40.2° is correct.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a right-angle triangle shown in the picture.

From the sin ratio:

sinx = side opposite to angle/hypotenuse

sinx = 12/18.6 = 0.645

x = sin⁻¹(0.645)

x = 40.17≈ = 40.2 degrees

Thus, the measure of the angle x is 40.2 degrees after applying the sin ratio option second 40.2° is correct.

Learn more about trigonometry here:

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