Question

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

∠
CAB = 90°,
∠
ABC = 59° and AC = 9.3.
Calculate the length of AB rounded to 3 SF.

Answer 1

We can use the trigonometric ratios to solve this problem. Since we know that ∠CAB = 90°, we can use the sine ratio to find the length of AB:

sin(59°) = AB/9.3

AB = 9.3 sin(59°)

Using a calculator, we get:

AB ≈ 8.013

Rounding to 3 significant figures, the length of AB is:

AB ≈ 8.01