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Fynjy0 [20]
3 years ago
9

Solve equation if 0 degrees is less than or even to x which is less than or equal to 360 degrees

Mathematics
1 answer:
Elena L [17]3 years ago
7 0

Answer:

x = 60°

Step-by-step explanation:

Use special triangles.

Starting with an equilateral triangle (all angles at 60°) with the side length of 2. Drop an altitude from one of the vertices to cut in half and make a right - triangle.

The hypotenuse length is 2. The base length, because it was cut in half, is 1. The height can be found with the Pythagorean theorem, which is √3.

The ratio for tangent is opposite over adjacent.

Since √3 = √3 / 1, the angle must be the one as marked in the picture.

Remember this triangle came from an equilateral triangle, so that angle is 60°. It was not cut in half, unlike the top angle which is 30°.

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