Find the height of the tree to the nearest foot

Answer:height = 50 ft (nearest foot)Step-by-step explanation:This creates a right triangle, where:horizontal leg = 72 ftvertical leg = height of treeangle of elevation (between horizontal leg and hypotenuse) = 34.6°Use the tan trig ratio to find the height.[tex]\mathsf{\tan\theta=\dfrac{opposite \ side}{adjacent\ side}}[/tex][tex]\implies \mathsf{\tan(34.6)=\dfrac{height}{72}}[/tex][tex]\implies \mathsf{height=72\tan(34.6)}[/tex][tex]\implies \mathsf{height=50 \ ft \ (nearest\ foot)}[/tex]