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

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

Explanation:

Given equation:

`\displaystyle tan (30 \textdegree) = (5)/(b)`

We have to find b.

tan 30° = 0.6

`\displaystyle 0.6 = (5)/(b) \\\\Multiply \ b \ to \ both \ sides \\\\0.6 * b = 5 \\\\Divide \ 0.6 \ to \ both \ sides\\\\b = (5)/(0.6) \\\\b = 8.7 \ cm \\\\\rule[225]{225}{2}`