Question

Find the measure of angle A. Round your answer to the nearest hundredth.

Answer 1

40.60 degrees to the nearest hundredth.

Explanation:

Tan A = opposite side / adjacent side = 6/7'

The angle whose tangent is 6/7 is 40.60 degrees.

Answer 2

Angle A = 40.6°

Explanation:

For any right angle triangle we know the Pythagoras theorem reveals

Hypotenuse² = Height²+Base²

By this formula we will calculate the length of Hypotenuse

H² = 6²+7²

⇒ H =√36+49 = √85 = 9.22

Now from the given triangle sin A = Height/ Hypotenuse

sin A = 6/9.22 = 0.651

Therefore
`A = sin^(-1)(.651) = 40.6`

So angle A = 40.6°