A kite rises at an angle of 14° with the ground. Find the distance the kite has flown (hint: the length of the string) when it has covered a horizontal distance of 150 feet. Round your answer to the nearest foot.

Question

anonymous · Answer

horizontal distance = base = AB = 150 ft
angle A = 14°
distance of kite = hypotenuse = AC = ???

                                     Base                 AB
we know cosA = ------------ = ------
                               Hypotenuse          AC

                            150
Here cos14° = ------
                             AC

from the table of trigonometric values,  cos 14° = 0.97030
                            150
so, 0.97030 = ------
                             AC
              150
AC = --------- = 154.59 ft
           0.97030

so the distance the kite has flows is 154.59 ft.