Question

Solve for x. Round to the nearest tenth of a degree, if necessary. The numbers are 46 is at the adjacent side and 87 is at the opposite side. X is the angle what is the x? The x is right next to both of the hypotenuse and the adjacent side.

Answer 1

Since x is the angle with adjacent = 46 and opposite = 87, use tangent:

tan x = opposite/adjacent = 87/46.

x = arctan(87/46) ≈ arctan(1.8913) ≈ 62.1° (to the nearest tenth).