Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

a
Joshua is flying a kite, holding his hands a distance of 3.75 feet above the
ground and letting all the kite's string play out. He measures the angle of
elevation from his hand to the kite to be 28°. If the string from the kite to his
hand is 140 feet long, how many feet is the kite above the ground? Round
your answer to the nearest hundredth of a foot if necessary.

Sagot :

Answer:

Step-by-step explanation:

Assuming the ground is level

h = 3.75 + 140sin28

h = 69.47601...

h = 69.48 ft.

The height of the kite above the ground is 69.48 ft

Right angle triangle:

  • A right angle triangle is a triangle that has one of its angle as 90 degrees. Therefore,

Using trigonometric ratio, the opposite side of the triangle formed can be calculated as follows:

  • sin 28° = opposite / hypotenuse

sin 28° = x / 140

x = 140 sin 28

x = 140 × 0.46947156278

x = 65.72601879

x = 65.73

The height of the kite from the ground = 65.73 + 3.75 = 69.48 feet

learn more on right triangle here: https://brainly.com/question/25892318

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.