Question

ZA
Round your answer to the nearest hundredth.

Answer 1

A = 48.81°

Explanation:

Angles in a Right Triangle

When the side lengths of a right triangle are known and an angle must be determined, we can use the trigonometric ratios that relate angles and sides.

The tangent ratio is defined as:

`\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}`

Opposite leg to angle A is 8 and adjacent leg is 7, thus:

`\displaystyle \tan A=(8)/(7)`

Using the inverse tangent funcion:

`\displaystyle A=\arctan(8)/(7)`

Calculating:

A = 48.81°