The moon forms a right triangle with the earth and the sun during one of its phases, as shown below:

a right-angle triangle is shown with the earth at the right angle. the acute angle between the line joining the earth and the sun and the sun and the moon is x degrees. the distance between the earth and the moon is y.

a scientist measures the angle x 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:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.

The distance y is the side opposite to angle x in the right triangle.  Use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒ d = y/sin(x)

how is that middle school

step-by-step explanation:

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.