Question

the angle subtended by the moon's diameter at a point on the earth is about 0.50°.use this and the act that the moon is about 384000 km away to find the approximate diameter of the moon

Answer 1

Answer:

The approximate diameter of the moon = 3.35 x 10^6 m

Explanation:

objects that subtend a relatively small angle ( 0.50)

We want to use  approximation

s = rθ

s = Where s is the actual diameter of the object

r = distance to the object

θ = the angle subtended by the object in the sky in radians

Degrees to radians convert

π = 3.14

0.5º x (3.14 / 180º) = 0.00873 rad

s = (384000000 ) * (0.00873)

s = 3.35 x 10^6 m

The approximate diameter of the moon = 3.35 x 10^6 m