Question

How far away is the puddle from the house? angle of depression is 40 degree

Answer 1

Answer: 29.8 feet

Explanation:

To solve this, the first step is to make the imaginary triangle (look at the picture below). Now, we use the basic trigonometry functions. Since we have to find tge base part of the triangle (which is the adjacent one to the angle, and we already have the opposite to the angle. So, now we know we have to use the tan ratio. We now solve it with the following method:

`tan(Angle) = (Opposite)/(Adjacent) \\`

Now we sub in our values and use the calculator to solve it:

`tan(40) = (25)/(x)\\\\x = (25)/(tan(40)) \\\\x = 29.8 (1 d.p)`