Kalei is 6ft tall and stands 10 feet from a tree. He measures an angle if elevation of 30° up to the coconuts on the tree. How high are the coconuts? Round your answer to the nearest tenth.

Answer:The total height of coconut Tree = H + 10ft = 11.77 ftStep-by-step explanation:Given as, The height of Kalei = 6ftThe distance of Kalei from the coconut Tree = 10 feetAngle of elevation of kalei up to the coconut on tree = 30°Note : look at the pic attache From figure it is mention that Total height of Tree = 6 ft + HSo, Tan 30° = [tex]\frac{perpendicular}{base}[/tex]      Tan 30° = [tex]\frac{H}{10}[/tex]     ∴ H         = 10 Tan 30° = 10 × 0.577         Note : tan 30° = 0.577i.e    H         = 5.77 ftHence the total height of coconut tree = 6 + 5.77 = 11.77 ft   Answer