Find the value of x. Round the length to the nearest tenth. Diagram is not drawn to scale.A.7.2ftB.6.9ftC.13.9ftD.9.7ft
Accepted Solution
A:
Answer:(A) [tex]x=7.2 ft[/tex] Step-by-step explanation:Given: A triangle whose base angle is 44° and hypotenuse is 10ft.To find: The value of x.solution: Using the trigonometry, we have[tex]\frac{x}{10}=cos44^{{\circ}}[/tex]⇒[tex]x=10{\times}cos44^{{\circ}}[/tex]⇒[tex]x=10{\times}0.72[/tex]⇒[tex]x=7.2 ft[/tex]Thus,the value of [tex]x=7.2 ft[/tex]