The length of the kite is approximately 60 ft
The length of the kite string is approximately 146 ft
The situation forms a right angle triangle.
Right angle triangle
Right angle triangle are triangle that has one of its angle as 90 degrees. The sides of the triangle formed can be found using trigonometric ratios. Therefore,
The height of the kite is the opposite side of the triangle.
The distance from Emma to Ben is the adjacent side of the triangle .
Therefore,
tan 70 = opposite / adjacent
tan 70 = h / 50
h = 50 × 1.19175359259
h = 59.5876796297
h = 60 ft
The length of the kite string is the hypotenuse side of the triangle formed. Therefore,
cos 70 = adjacent / hypotenuse
cos 70 = 50 / x
x = 50 / 0.34202014332
x = 146.198830409
x = 146 ft
learn more on angle of elevation here: https://brainly.com/question/4350272
