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A HELPPP I DONT KNOW WHAT THE ANSWER IS

A HELPPP I DONT KNOW WHAT THE ANSWER IS-example-1
User Proximab
by
9.3k points

2 Answers

4 votes

Answer:

5.2

Explanation:

You want the length of the leg marked x in the 30°-60°-90° right triangle with short leg 3.

Special triangle

The 30°-60°-90° right triangle is one of two "special" right triangles. The ratios of side lengths in this special triangle, shortest-to-longest are ...

1 : √3 : 2

These correspond to ...

3 : x : hypotenuse

Clearly, the side lengths for this triangle can be found by multiplying the basic ratio by 3:

3 : 3√3 : 6

So, the length x is 3√3 ≈ 5.2.

__

Additional comment

You can also find the length x using the tangent function:

Tan = Opposite/Adjacent

tan(60°) = x/3

x = 3·tan(60°) = 3√3 ≈ 5.2

The other "special" right triangle is the 45°-45°-90° isosceles right triangle. The side length ratios in that triangle are 1 : 1 : √2.

User Jino Shaji
by
7.7k points
4 votes

Answer:

5.2

Explanation:

You want the length of the leg marked x in the 30°-60°-90° right triangle with short leg 3.

Special triangle

The 30°-60°-90° right triangle is one of two "special" right triangles. The ratios of side lengths in this special triangle, shortest-to-longest are ...

1 : √3 : 2

These correspond to ...

3 : x : hypotenuse

Clearly, the side lengths for this triangle can be found by multiplying the basic ratio by 3:

3 : 3√3 : 6

So, the length x is 3√3 ≈ 5.2.

__

Additional comment

You can also find the length x using the tangent function:

Tan = Opposite/Adjacent

tan(60°) = x/3

x = 3·tan(60°) = 3√3 ≈ 5.2

The other "special" right triangle is the 45°-45°-90° isosceles right triangle. The side length ratios in that triangle are 1 : 1 : √2.

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A HELPPP I DONT KNOW WHAT THE ANSWER IS-example-1
User TDM
by
8.6k points

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