Problem

Numeric Response Numeric Response 3. The ratio of $\tan \left(25^{\circ}\right)$ to the nearest hundredth is (Record your answer in the numerical-response section below.) Your answer:

Solution

Step 1 :The question is asking for the ratio of \(\tan \left(25^{\circ}\right)\) to the nearest hundredth. The tangent of an angle in a right triangle is the ratio of the length of the opposite side to the length of the adjacent side.

Step 2 :First, we convert the angle from degrees to radians. The angle in radians is approximately 0.4363323129985824.

Step 3 :Next, we calculate the tangent of the angle. The tangent value is approximately 0.4663076581549986.

Step 4 :We then round the tangent value to the nearest hundredth, which gives us 0.47.

Step 5 :Final Answer: The ratio of \(\tan \left(25^{\circ}\right)\) to the nearest hundredth is \(\boxed{0.47}\).

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Source: https://solvelyapp.com/problems/19068/

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