Question

A, B & C form the vertices of a triangle.
∠
CAB = 90°,
∠
ABC = 64° and AB = 8.7.
Calculate the length of AC rounded to 3 SF.

Answer 1

Answer:

AC = 17.8

Explanation:

to figure out the length of AC, you want to put the values into the tangent function:

tan 64° = AC/8.7

Now to solve:

first swap them so you have AC/8.7 = tan 64°

Multiply both sides by 8.7 to get AC = 8.7 tan 64°

then calculate it

AC = 8.7 x 2.0503...

AC = 17.8376

AC = 17.8 (3 Significant Figures)