Question

samantha points a telescope at an altitude of 32° to see the star pollux. then she lowers the telescope to an altitude of 25° to see a planetary nebula. answer 2 questions about the telescope. 1. what was the change in telescope angle from pollux to the planetary nebula? 2. how many degrees apart were pollux and the planetary nebula?

Explanation:

Step1: Determine the formula for change in angle

The change in angle is calculated by subtracting the initial angle from the final angle.
$$\text{Change in angle}=\text{Final angle}-\text{Initial angle}$$

Step2: Substitute the given values

The initial angle (to see Pollux) is \(32^{\circ}\) and the final angle (to see the planetary nebula) is \(25^{\circ}\).
$$\text{Change in angle}=25^{\circ}-32^{\circ}$$

Step3: Calculate the result

$$25 - 32=- 7$$
Since we are talking about the magnitude of the change (how many degrees apart), we take the absolute value. \(\vert-7\vert = 7\)

Answer:

\(7^{\circ}\)