Question

Find A to the nearest degree. A ≈ ____ degrees.

Answer 1

47°

Explanation:

We are given a right angles triangle having the base length = 267 unit and hypotenuse = 391 unit.

Now, using the trigonometric forms of angles in a right triangle.

We have,
`\cos A=(adjacent)/(hypotenuse)`

i.e.
`\cos A=(267)/(391)`

i.e.
`\cos A=0.683`

i.e.
`A=\arccos 0.683`

i.e. A = 46.92°

Hence, the value of A to the nearest degree is 47°

Answer 2

to find A

arc cos(267/391) = 46.93

to the nearest degree = 47 degrees