Question

What is the distance (in meters) of an object that has an angular diameter of 100 arcseconds and a linear diameter of 50 meters?

Answer 1

Answer:

0.02424 m

Explanation:

Using the formula

$L=2a\frac {tan \theta}{2}$ and substituting $\frac {100}{3600}$ for $\theta$, 50 m for a then

$L=2\times50\times tan (\frac {100}{2\times 3600})=0.02424 m$

Therefore, the distance in metres is 0.02424 m