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:

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 \(\boxed{0.47}\).