Question

The distance of planet from the earth is 3.66 × 10⁵km. If the angular diameter of the planet is 1.5°.calculate the diameter of the planet.

Answer 1

Answer:

Angular diameter θ=1920

′′

=

60

1920

=32

′

We know that 1

′

=

60

1

o

=

60

1

×

180

π

rad

∴ θ=32×

60×180

π

=0.009 rad

Distance between sun and earth l=1.5×10

11

m

Linear diameter d=lθ=1.5×10

11

×0.009=1.4×10

9

m