The moon forms a right triangle with the earth and the sun during one of its phases I show a scientist measures the angle acts and the distance Y between the earth and the moon. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the earth and the sun.

Step-by-step explanation:

The tangent of an angle in a right triangle is the opposite side divided by the adjacent side.

If d is the distance between the earth and the sun, then:

tan x = y / d

Solving for d:

d = y / tan x

since the airplane is moving with constant speed then the distance travelled can be calculated by x=u*t

in km/h would be:

x=640*3.5=2.240 km

in m/s would be:

u=640 km/h= 640.000 m/h =640.000/ 3600 m/s =177.8 m/s

t= 3.5 h= 3.5 * 3600 s=12.600 s

then x=u*t= 177.8*12.600= 2.240.280 m

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.