Question

Angle A is an acute angle. Use a calculator to approximate the measure of A. Round decimals to one place.

Tan A = 2.50
m∠A ≈ º

Answer 1

The measure of angle A is
`\angle A=68.2^(\circ)`

Step-by-step explanation:

Given that the angle A is an acute angle.

Also, given that
`tan \ A=2.50`

Measure of angle A:

We need to determine the measure of angle A.

Since, we have,

`tan \ A=2.50`

Let us multiply
`tan^(-1)` on both sides of the equation.

Thus, we get,

`(tan^(-1))tan \ A=tan^(-1) (2.50)`

Simplifying the terms, we have,

`A=tan^(-1) (2.50)`

Using calculator, we shall determine the measure of A.

Substituting
`\tan ^(-1)(2.50)=68.19859051`, we get,

`A=68.19859051`

Rounding off the decimal to one place, we have,

`A=68.2`

Hence, the measure of angle A is
`\angle A=68.2^(\circ)`