Question

What is the length of AC? Round to the nearest tenth.

Answer 1

Answer:

AC = 8.7 cm (nearest tenth)

Step-by-step explanation:

Given:

• $\tan(30)=\dfrac{5}{b}$

• b = AC

To find AC:

$\implies \tan(30)=\dfrac{5}{b}$

$\implies b=\dfrac{5}{\tan(30)}$

$\implies b=5\sqrt{3}$

⇒ b = 8.7 (nearest tenth)

Therefore, the length of AC is 8.7 cm (nearest tenth)

Answer 2

$\\ \rm\Rrightarrow tan30=\dfrac{5}{b}$

$\\ \rm\Rrightarrow 1/\sqrt{3}=5/b$

$\\ \rm\Rrightarrow b=5\sqrt{3}$

$\\ \rm\Rrightarrow b=8.66=8.7cm$

• AC is 8.7cm