Find the horizontal distance x the escalator covers. Round your answer to the nearest tenth
Step 1
Draw the diagram.
Hypotenuse = 26 side facing right angle.
Opposite =?
Adjacent = x
Step 2
Apply cosine formula
[tex]\begin{gathered} \text{ }\theta\text{ = 41} \\ \cos \theta\text{ = }\frac{adjacent}{\text{hypotenuse}} \\ \cos 41\text{ = }\frac{x}{26} \\ 0.7547\text{ = }\frac{x}{26} \\ x\text{ = 0.7547 x 26} \\ x\text{ = 19.6 ft} \end{gathered}[/tex]