Drag the tiles to the correct boxes to complete the pairs. Based on the diagram, match the trigonometric ratios with the corresponding ratios of the sides of the triangle.

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Step-by-step explanation:

We can use the phrase SOH-CAH-TOA to help us with this problem. SOH-CAH-TOA stands for Sine = Opposite / Hypotenuse, Cosine = Adjacent / Hypotenuse, and Tangent = Opposite / Adjacent. This phrase helps to remember which sides of a right triangle get divided by which.

First, we'll evaluate . Referencing CAH (Cosine = Adjacent / Hypotenuse), we know that is equal to the length of the adjacent leg to ∠B, which is c, divided by the length of the hypotenuse of the right triangle, which is a. Therefore, .

As for , we can refer to TOA (Tangent = Opposite / Adjacent), which means that is equal to the length of the opposite leg to ∠C, which is c, divided by the length of the adjacent leg to ∠C, which is b. Therefore, .

As for , we can refer to SOH (Sine = Opposite / Hypotenuse), which means that is equal to the length of the opposite leg to ∠B, which is b, divided by the length of the hypotenuse of the right triangle, which is a. Therefore, .

Finally, we'll evaluate . As TOA tells us, is equal to the length of the opposite leg to ∠B, which is b, divided by the adjacent leg to ∠B, which is c. Therefore, .

Hope this helps!

mxb67

step-by-step explanation:

i got 10.28 but that rounds up to 10.3