The Saturn 5 rocket, used to send astronauts to the Moon, stood about 110 m high. At what distance would you have to stand in order to have the rocket subtend an angle of about 2.5 degrees? (This angle is the field of view of a 600-mm focal length telephoto lens on a 35-mm camera.)
A)275 km
B)0.25 km
C)2700 km
D)2.5 km

Question

Quizplus · Accepted Answer

To find the distance, use the formula for the angle subtended by an object: angle = (height/distance) * (180/π). Solving for distance gives distance = height / tan(angle). Plugging in the values: distance = 110 / tan(2.5 degrees) ≈ 2.5 km.

The Saturn 5 Rocket, Used to Send Astronauts to the Moon