Question

A, B & C form the vertices of a triangle. ∠ CAB = 90°, ∠ ABC = 36° and AB = 8.6. Calculate the length of AC rounded to 3 SF.

Answer 1

AC ≈ 6.25

Explanation:

using the tangent ratio in the right triangle

tan36° =
`(opposite)/(adjacent)` =
`(AC)/(AB)` =
`(AC)/(8.6)` ( multiply both sides by 8.6 )

8.6 × tan36° = AC , then

AC ≈ 6.25 ( to 3 SF )