The angle of elevation from the top of a house to a jet flying 2 miles above the house is x radians. If d represents the horizontal distance, in miles, of the jet from the house, express d in terms of a trigonmetric function of x.

tanX = 2mi/d,

d = 2/tanX.

0.0

To solve this, we can use the tangent function, which relates the angle of elevation to the horizontal and vertical distances of an object.

Let's consider the right triangle formed by the house, the jet, and the vertical distance between them. The angle of elevation, x radians, is the angle opposite the vertical distance. The horizontal distance, d miles, is the adjacent side of this triangle.

Using the tangent function, we can set up the equation:

tan(x) = vertical distance / horizontal distance

The vertical distance is given as 2 miles, and the horizontal distance is what we want to find, so let's rearrange the formula to solve for d:

d = vertical distance / tan(x)

Substituting the given values:

d = 2 miles / tan(x)

Therefore, the horizontal distance d, in terms of the angle of elevation x, can be expressed as:

d = 2 / tan(x) miles