Assume the earth is a sphere with radius 3960 miles, how high does the satellite have to be above the earth’s surface to see both los angeles and miami, 2700 miles apart

The length of the arc between  L A and Miami = 2700 miles

length of arc = r*c where c is in radians

2700 = 3960 * c

c = 2700/3960 = 0.68182  radians+

The tangents from the satellite to the 2 points on the earth make a 90 degree angle with the radii of the earth,  so we have 2 right angled triangles with  one angle = 1/2 * 0.68182 =  0.34091 radians and the hypotenuse is the distance from center of the earth to the satellite.

if x is the distance of the satellite from the surface of the earth we have the equation

cos 0.34091 =  3960 /( x + 3960)

cos 0.34091(x + 3960) = 3960

x =   (3960 - cos0.3409* 3960) / cos0.34091

= 241.8 miles Answer

13

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sodas