- Jaden is flying a kite and lets off 275 feet of string. If the kite is 150 feet
above ground and assuming the string is straight, what angle does the
string make with the ground?

The angle is 33 degrees

Step-by-step explanation: Please refer to the attached diagram.

In the attached diagram, point K is the position of the kite. Point J is Jaden’s position, while the ground directly below the kite is point G.

From the information given, Jaden lets off 275 feet of string represented by line JK, and the kite is 150 feet above the ground which is represented by line GK.

With the available information we have a right angled triangle KJG. The question requires us to find the angle the string makes with the ground, which is represented by angle J. Using J as the reference angle, we can see that line KG is the opposite and line JK is the hypotenuse. Having the opposite and hypotenuse we can use the trigonometric ratio of Sine of angles.

Therefore,

Sin J = Opposite/Hypotenuse

Sin J = 150/275

Sin J = 0.5454

Checking with a calculator or a table of values, we now have

J = 33.05

Approximately that is 33 degrees

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step-by-step explanation: