A group of travelers have assembled a tepee that has a circular base. As shown in the figure, the side of the tepee measures 3 meters from the ground to the tepee’s peak, and the peak angle measures 50°.

What is the diameter of the tepee’s circular base?

6sin25°

Explanation

As you can see from the figure below, letting x = the radius of the base, sin25° = ; x = 3sin25°; and the diameter of the entire base = 6sin25°.

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