Answer:
The distance of the object in meters is 0.02364 m
Explanation:
Given;
angular diameter of the object, θ = 75 arcseconds = [tex]\frac{75}{3600}[/tex]
linear diameter of the object, α = 65 meters
distance of the object in meters, L = ?
The distance of the object in meters can be calculated by using the formula below;
[tex]L= 2 \alpha*tan\frac{\theta}{2}[/tex]
where;
L is distance of the object in meters
α is linear diameter of the object
θ is angular diameter of the object
Substitute these given values and calculate the distance
[tex]L = 2*65*tan(\frac{75}{2*3600} ) = 0.02364 \ m[/tex]
Therefore, the distance of the object in meters is 0.02364 m
