High School

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Wanwan is 1.69 m tall and is flying a kite. She holds the string of the kite just above her head. The string is 80 m long and makes an angle, \(x^\circ\), between 54° and 55° with the horizontal. Assuming that the string is taut, estimate (to 2 decimal places) the vertical height of the kite from the ground.

Answer :

Since, the kite is taut the vertical height of the kite from the ground is 66.82 meters

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.

Therefore, the string length is the hypotenuse side. The angle formed is between 54 degree to 55 degrees. Therefore,

sin 54.5 = opposite / hypotenuse

sin 54.5 = h / 80

cross multiply

h = 80 × sin 54.5

h = 80 × 0.81411551835

h = 65.1292414685

Therefore, the vertical height of the ground from the ground is as follows:

vertical height = 65. 13 + 1.69 = 66.82 meters

learn more on right triangle here: https://brainly.com/question/22257626

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