Question

In the right angle ΔABC, ∠B=900. If tan C = 3 , the value of the angle ‘A’ is

Answer 1

Answer:

Step-by-step explanation:

\begin{gathered} \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\end{gathered}

sumofallsidesoftriangle=180°

tan(60°)=

3

∠c=60°

∠a+∠b+∠c=180°

∠a+90°+60°=180°

∠a+150°=180°

∠a=180°−150°

∠a=30°

Step-by-step explanation:

the is answer