Trig Let's say the height of a house is 29ft and you determined this by standing 6 feet away from the house with an angle of 75 degrees to the top of the house. If you move 24 feet away from the same house what is the new angle of elevation to the top of the house?

50.39 degrees

Step-by-step explanation:

Model this situation with a right triangle.  The horizontal leg of this right triangle is 24 ft, whereas the height (top) of the house is 29 ft, which forms the vertical leg.  The ratio of these two measurements is 29/24, which is the tangent of the angle of elevation.  Using a calculator to find the new angle:

tan x = 29/24 = 0.88 radian, or 50.39 degrees  

one fourth of 9% = 2.25%

gavin is correct in saying : the equivalent quarterly interest rate would be

2.25%.