A "sine regression model" is a model of a sine function with 4 different parameters normally named as: and that is returned to the user after trying to fit a set of numerical values using a sinusoidal function.
The model and parameters are normally defined as follows:
The parameters and are associated with different geometric characteristics of the modeling function. For example, is associated with the function's amplitude, with the function's period via the relationship: , with the function's horizontal shift via the relationship: to the right if is a negative number, and to the left if c is a positive number. and with the function's vertical shift.
So looking at your functional expression,
is represented in absolute value by the number 1.093 that appears in the argument of the sine function,and indicates that there is a shift to the right from the standard sine function.
First put the words in an algebraic format or a model. D = 3.5(√H). Now determine what the question is asking. It's height. Plug in the value of D. Distance is 35 km. 35 = 3.5(√H) We want to get H by itself. First thing to get away from it is 3.5. So divide 35 by 3.5 And 3.5(√h) by 3.5. 10 = √H To get rid of √ do the opposite raise to the power of 2 10² = (√H)² 100 = H You must be 100 kilometers above ground to see 35 kilometers