Use a calculator to evaluate the following correct to two decimal places.25 tan 78° =  (to 2 decimal places)

1. Break Down the Problem

We need to evaluate the expression $25 \tan(78^\circ)$ and round the result to two decimal places.

2. Relevant Concepts

To evaluate this expression, we will:

• Find the tangent of $78^\circ$.
• Multiply the resulting value by $25$.

3. Analysis and Detail

Using a scientific calculator:

1. Calculate $\tan(78^\circ)$.
2. Multiply the result by $25$.

4. Verify and Summarize

Let's perform the calculation.

• $\tan(78^\circ) \approx 5.085$ (using a scientific calculator).
• Next, calculate $25 \tan(78^\circ)$:

$25 \times 5.085 \approx 127.125$

Rounding to two decimal places, we find:

Final Answer

$25 \tan(78^\circ) \approx 127.13$ (to 2 decimal places).