Question

In the right angle ∆ABC, ∠B=90°

. If tan C = √3 ,the value of the angle ‘A’ is

A. 30°

B. 60°

C. 45°

D. 15°​

Answer 1

Step-by-step explanation:

B . 60.

is correct option

Answer 2

Answer:

$c \: = 60 \degree \\ \huge \red{\fbox{ \: a) \: \: a \: = 30 \degree}}$

Step-by-step explanation:

$\bold {\: sum \: of \: all \: sides \: of \: triangle \: = 180 \degree} \\ \tan(60\degree) = \sqrt{3} \\ \angle \huge \: c \: = 60 \degree \\ \huge \angle \: \: a \: + \angle \: b \: + \angle \: c \: = 180 \degree \\ \huge \angle \: a \: + 90 \degree \: + 60 \degree \: = 180 \degree \\ \huge \angle \: a + 150 \degree \: = 180 \degree \\ \huge \angle \: a \: = 180 \degree \: - 150 \degree \\ \huge \angle \: a \: = 30 \degree$

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