From the earth, the moon subtends an angle of approximately 0.5°. If the distance to the moon is approximately 240,000 miles, fi

Question

3 years ago

12

nd an approximation for the diameter of the moon accurate to the nearest hundred miles. (See Example 4 and the discussion that precedes it.)

1 answer:

konstantin123 [22] · Answer 1 · 2022-04-25T02:30:18+03:00

6 0

Answer:

2100 miles.

Step-by-step explanation:

Given:

Diameter to the moon = 240000 miles

∅ = 0.5 °

The subtended angle by an arc is given as:

S = r∅

Where

r = radius of the circle

Therefore,

D = 240,000 x (0.5 x π rads)/180

= 2094 miles

= 2100 miles.