Question

MOON WAS OBSERVED AT THE SAME TIME FROM TWO OBSERVATIORIES SITUATED AT TWO DIAMETRICALLY OPPOSITE POINTS ON THE EARTH'S SURFACE. THE PARALLAX ANGLE SUBTENDED BY THE MOON WAS MEASURED TO BE 3.2*10IS TO POWER -2 radd. If the radius of the earth is 6400km then the distance of the moon from the earth is
1. 400000m
2. 400000000m
3. 200000m
4. 200000000m

Answer 1

Answer:

The distance is 384000000 m

So approximately it is

2) 400000000m

Answer 2

Answer:

4) 400000000 m

Explanation:

Given,

$\theta = 3.2 \times 10^{-2} \; \text{rad}$

$r = 6400 \;\text{km}$

Solution,

FInd attached image

$l = \frac{d}{\theta}\\\\l = \frac{12800000 \; \text{m}}{3.2 \times 10^{-2}}\\\\l = 400000000 \; \text{m}$