Question

In the adjoining figure, AABC is right-angled at
B. If A° = 30° and AB =9 cm, find (i) BC and
(ii) AC.



please answer why to use that specific trigonometric identity ​

Answer 1

Answer:

Given : ABC is right angled at B and A = 30 degree , BC = 6

To find : AB and AC

Explanation:

from the figure

using the trigonometric ratios

$$\begin{lgathered}\tan 30^\circ = \frac{P}{B }= \frac{BC}{AB}\\\\\frac{1}{\sqrt{3}}=\frac{6}{AB}\\\\AB = 6\sqrt{3}\\\\\sin 30^\circ = \frac{P}{H}= \frac{BC}{AC}\\\\\frac{1}{2}= \frac{6}{AC}\\\\AC = 12 cm\end{lgathered}$$

hence ,The value of AC = 12 cm and AB is 6√3 cm

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