Answer:
The value of ∠A = 67.98°
Explanation:
The right angled triangle is given as
Given ,
Value of AC = 3 units
Value of AB = 8 units
Value of ∠A = ?
By using Pythagoras theorem,
=
![AC^(2) +BC^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8a7papku4hj86lek1telau2oxpwbrgaiq4.png)
![8^(2) = 3^(2) + BC^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/sni67gsiorioup1urdu7qoc49jpwib7j42.png)
BC =
![√(55)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/r61qqi6szv2gzob9v7jnxagrtyb81tvw6b.png)
By using Cos A = AC/AB
A =
![\cos^(-1)3/8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ic55p2gfla2za30hl3h5c2s02mm831lvrn.png)
A = 67.98°
The value of ∠A = 67.98°