Question

LA=
Round your answer to the nearest hundredth.

Answer 1

∠ A ≈ 48.81°

Explanation:

using the tangent ratio in the right triangle

tan A =
`(opposite)/(adjacent)` =
`(BC)/(AC)` =
`(8)/(7)` , then

∠ A =
`tan^(-1)` (
`(8)/(7)` ) ≈ 48.81° ( to the nearest hundredth )

Answer 2

48.81

Explanation:

Since we are given a right triangle, and we are trying to find a angle, we use the

SOH-CAH- TOA.

In relation to the angle, we know a side opposite of the angle and the side adjacent to the angle.

We use Tangent, which states that

`\tan(x) = (o)/(a)`

Here the opposite side is 8

The adjacent side is 7.

`\tan(x) = (8)/(7)`

Take the Inverse Tangent,

`\tan {}^( - 1) (( \tan(x) ) = \tan {}^( - 1) ( (8)/(7) )`

`x = \tan {}^( - 1) ( (8)/(7) )`

Which gives us 48.81