Finding a missing angle

The question
413x degrees

Find the angle: opposite 13, adjacent 4

How it works.

tan x=13 ÷ 4
x=tan⁻¹(13 ÷ 4)
x=73°
  1. 01

    You know the two legs: the side opposite the angle is 13, and the side next to it (adjacent) is 4. Opposite over adjacent is the tangent.

  2. 02

    To undo the tangent, use inverse tangent (tan⁻¹ on the calculator): x = tan⁻¹(13 ÷ 4).

  3. 03

    13 ÷ 4 = 3.25, and tan⁻¹ of that is 73° to the nearest degree.