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A student lets out 100 feet of string on a kite from a hand height of 3 feet. The angle between horizontal hand height is 25°. Find the height of the kite above the ground.

Respuesta :

JeanaShupp

Answer: 45.26 feet

Step-by-step explanation:

From the given information, it will make a right triangle, in which hypotenuse =   the length of the string = 100 feet

Let x denote the the height of the kite above the ground.

By trigonometry,

[tex]\sin25^{\circ}=\frac{\text{side opposite to the angles }}{\text{hypotenuse}}\\\Rightarrow\ 0.4226=\frac{x-3}{100}\\\Rightarrow\ x-3=42.26\\\Rightarrow\ x=42.26+3\\\Rightarrow\ x=45.26[/tex]

Hence, the height of the kite above the ground = 45.26 feet.

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okpalawalter8

The height of the kite above the ground is mathematically given as

H' =45

The height of the kite above the ground

Question Parameters:

A student lets out 100 feet of string on a kite from a hand height of 3 feet. The angle between horizontal hand height is 25°

Generally the equation for the height  is mathematically given as

H=100 Sin 25

H=100 x sin25

H= 100 x 0.4226

H= 42.26

Since the hand is 3 feet above the ground height is

H'= 3+ 42.26

H' =45

For more information on Trigonometry

http s://brainly.com/question/8120556

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