Consider right triangle with vertices B - base of the hill, S - top of the statue and Y - you. In this triangle angle B is right and angle Y is 13.2°. If h is a height of the statue, then the legs YB and BS have lengths 77 ft and 16+h ft.
You have lengths of two legs and measure of one acute angle, then you can use tangent to find h:
ft.
Answer: the height of the statue is 2.0565 ft.
For this case we have that by definition, the equation of a line in the slope-intercept form is given by:
Where:
m: Is the slope
b: Is the cut-off point with the y axis
We have the following equation:
We manipulate algebraically:
We subtract 10 from both sides of the equation:
We subtract 3x from both sides of the equation:
We multiply by -1 on both sides of the equation:
We divide between 5 on both sides of the equation:
Thus, the equation in the slope-intercept form is
Answer: