Question

Question was provided via image upload.

Explanation:

Set up the trigonometric ratio

$$ \tan(23^\circ) = \frac{x}{3.5} $$

Solve for the unknown length \(x\)

$$ x = 3.5 \cdot \tan(23^\circ) \approx 3.5 \cdot 0.42447 \approx 1.49\text{ m} $$

Calculate the total length of the pole

$$ \text{Total Length} = 3.5 + x \approx 3.5 + 1.4857 \approx 4.99\text{ m} $$

Answer:

Question 1

Complete the trig ratio. Use \(x\) as the variable.

$$ \tan(23^\circ) = \frac{x}{3.5} $$

Question 2

The length of the pole above the 3.5 m section is approximately 1.49 m.

Question 3

The total length of the pole should be approximately 4.99 m.