Question

Find The distance DB from Cassini yo Tethys when AD is tangent to the circular orbit. Round to the nearest kilometer

Answer 1

The distance to the nearest kilometer is 623946 km

The distance DB can be calculated using the distance formular :

DB = √AD² + AB²

AB = diameter of the circular orbit

From the value of the radius given;

• AB = 2r = 2×295000 = 590000 km

From the diagram ;

• AD = 203000 km

Now we have

DB = √203000² + 590000²

DB = 623946.31

The distance to the nearest kilometer is 623946 km

Answer 2

we have that

triangle ABD is a right triangle , because AD is a tangent

so

Apply the Pythagorean Theorem

DB^2=AB^2+AD^2

we have

AB is a diameter (two times rhe radius)

AB=2*295,000=590,000 km

AD=203,000 km

substitute

DB^2=590,000^2+203,000^2

DB=623,946 km