Question

Example 1.1: What is the solid angle subtended
by the moon at any point of the Earth, given
the diameter of the moon is 3474 km and its
distance from the Earth 3.84x10^8 mm.Physics

Answer 1

Hi sharon,

The answer for this question is explained in the attachment.

Hope this helps!

Answer 2

Answer:  

The value of θ = 0.5183°

Solution:  

Given Data:

Diameter = 3474 km

Distance = 3.84 $\times 10^{8}$ mm

To Find:

Calculate the Solid angle subtended by the moon at any point of the earth

Step-By-Step Explanation:

Step 1:

d = 3474 km  

x = 384000000 m = 384000 km

Step 2:

We know that:

Angle of parallax is given by:

$\theta=\frac{d}{x}$

Step 3:

$\theta=\frac{3474}{384000}m$

$\theta=0.009047 \mathrm {rad}$

Step 4:

Result:

θ = 0.5183°

The Final answer is $\theta=0.5183^{\circ}$