Question

The angular diameter of the sun from earth is 16 minute. If the distance of earth from the sun is 1.49×$10^{11}m$, then what will be the diameter of sun?

Answer 1

Answer:

Explanation:

Hii, there

I think something is wrong with question because minute unit is used for time not for measuring diameter.

I can give you similar example here in which angular diameter of the sun is suppose 2000'. and the distance of the Earth from the Sun is 1.49 x 10^11 m. and we need to find diameter of the Sun.

solution:

=> It's Given,

D=1.496*10^11m

now, Angular distance of the Sun = 2000

=2000/60*60=0.55 degree

here the angle  θ is very small. thus, the traingle is approx right angle triangle .

=> To convert to radian

=0.55*π/180

=0.0096 radian

=> Now , d = D tan θ

The angle formed is very small so we can assume that tan θ= θ

d=D θ

d=1.49 * 10^11 * 0.0096

=0.014 * 10^11m

Thus, the diameter of sun will be 0.014 * 10^11m.