Question

Help math problem for geomotry

Answer 1

x is approximately 11.37 meters

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;

`cos \angle \theta = (Adjacent \ leg \ length)/(Length \ of \ Hypotenuse \ side)= (Base \ length \ of \ triangle)/(Length \ of \ Hypotenuse \ side)`

By substituting the given values, we have;

`cos (29^(\circ)) = (x)/(13 \ m)`

Therefore;

x = 13 m × cos(29°) ≈ 11.37 m.