Question

The equation tan(30 degrees)=5/b can be used to find the length of AC.
What is the length of AC? Round to the nearest tenth.

Answer 1

Answer:

$\huge\boxed{\sf b = 8.7 \ cm}$

Step-by-step explanation:

Given equation:

$\displaystyle tan (30 \textdegree) = \frac{5}{b}$

We have to find b.

tan 30° = 0.6

$\displaystyle 0.6 = \frac{5}{b} \\\\Multiply \ b \ to \ both \ sides \\\\0.6 \times b = 5 \\\\Divide \ 0.6 \ to \ both \ sides\\\\b = \frac{5}{0.6} \\\\b = 8.7 \ cm \\\\\rule[225]{225}{2}$