Question

Given tan A = .78 find angle A in degrees. Round your answer to the nearest hundredth.

Answer 1

`A\approx 37.95^(\circ)`

Explanation:

We have been given that
`\text{tan}(A)=0.78`. We are asked to find measure of angle A in degrees.

We will inverse tangent to find measure of angle A as:

`A=\text{tan}^(-1)(0.78)`

`A=37.954230875133^(\circ)`

Upon rounding our answer to nearest hundredth, we will get:

`A\approx 37.95^(\circ)`

Therefore, the measure of angle A is approximately 37.95 degrees.

Answer 2

Tangent is one of the simplest trigonometric functions which relates the sides of the triangle. This function is the ratio between the measure of the side opposite to the angle and the side adjacent to it. This can be calculated through the reverse equation of,
tan⁻¹(0.78) = A
The value of A in the equation to the nearest hundredth is 37.95°.