Question

In ΔXYZ, the measure of ∠Z=90°, YZ = 5.6 feet, and ZX = 6.5 feet. Find the measure of ∠X to the nearest degree.

Answer 1

41

Explanation:

tan −1 ( 6.5 / 5.6 ) = 40.746 = 41

Answer 2

41 degrees

Explanation:

Here in this question , we are interested in calculating the value of angle x.

Firstly, we shall be needing a diagrammatic representation, please check attachment for this.

We are interested in calculating angle x, which represents the angle facing the opposite. The other third side that we have is referred to as the adjacent.

The trigonometric ratio to use here is thus called the tangent.

Mathematically the tangent of an angle = length of the opposite/length of the adjacent

The value 5.6 is our opposite since it faces the angle while the length 6.5 is the adjacent.

Thus;

tan x = 5.6/6.5

tan x = 0.8615

x = arc tan 0.8615

x = 40.75 degrees which is 41 degrees to the nearest degree