Answer to Question #321278 in Trigonometry for tee

Question

A, B & C form the vertices of a triangle.

∠

 CAB = 90°, ∠

 ABC = 36° and AC = 8.8.

Calculate the length of AB rounded to 3 SF.

Answer 1

Given triangle has right angle CAB.

So AB, AC and ∠ABC form the equation:

tan(∠ABC) = AC/AB.

From this equation we can find AB.

AB = AC / tan(∠ABC) = 8.8 / tan(36°) = 8.8 / 0.72654 = 12.112.

Answer: AB = 12.112.