Answer:
x is approximately 11.37 meters
Step-by-step explanation:
The given parameters of the right tringle are;
The length of the hypotenuse side = 13 m
The measure of the angle opposite the height of the right triangle, θ = 29°
The measure of the side adjacent to angle θ = x = The base length of the triangle
Therefore, by trigonometric ratios, we have;
[tex]cos \angle \theta = \dfrac{Adjacent \ leg \ length}{Length \ of \ Hypotenuse \ side}= \dfrac{Base \ length \ of \ triangle}{Length \ of \ Hypotenuse \ side}[/tex]
By substituting the given values, we have;
[tex]cos (29^{\circ}) = \dfrac{x}{13 \ m}[/tex]
Therefore;
x = 13 m × cos(29°) ≈ 11.37 m.
