What is the length of the base of a right triangle with a height of 12 feet and the angle at apex 57 degrees

Answer 1

Decide which trig function would work best to find the length: SOH CAH TOA

Since you are given the angle and and adjacent length, TOA would work best.

TOA represents:Tan x = Opposite/Adjacent.

x represents the angle, opposite is the length of the base, and adjacent is the height of the triangle.

Tan 57 = length of the base / 12ft

Tan(57) * 12ft = length of the base

Length of the base = 18.48ft

Let me know if you have any questions!

-TutorB