Kari is flying a kite. She releases 50 feet of string. What is the approximate difference in the height of the kite when the string makes a 25o angle with the ground and when the string makes a 45o angle with the ground? Round to the nearest tenth.
14.2 feet
17.1 feet
47.6 feet
55.2 feet

Respuesta :

Answer:

It is 14.2 on 3dgenuity

Step-by-step explanation:

The difference in height of the kite above the ground is 14.2 feet.

Trigonometric ratio

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let h represent the height of the kite above the ground.

For an angle of 25°:

sin(25) = h/50

h = 21.1 feet

For an angle of 45°:

sin(45) = h/50

h = 35.4 feet

Difference in height = 35.4 - 21.1 = 14.2

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