contestada

A portion of a hiking trail slopes downward at about an 84° angle. To the nearest tenth of a foot, what is the value of x, the distance the hiker traveled along the path, if he has traveled a horizontal distance of 120 feet? B 849 А 120 ft С O A. 12.5 ft B. 130.2 ft C. 143.3 ft O D. 120.7 ft

A portion of a hiking trail slopes downward at about an 84 angle To the nearest tenth of a foot what is the value of x the distance the hiker traveled along the class=

Respuesta :

The given figure form a triange right angled at A.

AC=120 ft.

BC=x.

BC is the hypotenuse.

Now, applying trigonometric property in the triangle,

[tex]\begin{gathered} \sin Substitute the values.[tex]\begin{gathered} \sin 84\degree=\frac{120}{x} \\ x=\frac{120}{\sin 84\degree} \\ x=120.7\text{ ft} \end{gathered}[/tex]

Therefore, the value of x is 120.7 ft.

Otras preguntas