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