Chee is flying a kite, holding her hands a distance of 3.25 feet above the ground and

Mathematics

1 answer:

Mademuasel [1]2 years ago

6 0

The height of the kite above the ground is 58.68 ft

Let x be the height of the kite above Chee's hand.

The height of the kite above Chee's hand, the string and the horizontal distance between Chee and the kite form a right angled triangle with hypotenuse side, the length of the string and opposite side the height of the kite above Chee's hand.

Since we have the angle of elevation from her hand to the kite is 29°, and the length of the string is 100 ft.

From trigonometric ratios, we have

tan29° = x/100

So, x = 100tan29°

x = 100 × 0.5543

x = 55.43 ft.

Since Chee's hand is y = 3.25 ft above the ground, the height of the kite above the ground, L = x + y

= 55.43 ft + 3.25 ft

= 58.68 ft to the nearest hundredth of a foot

So, the height of the kite above the ground is 58.68 ft

Learn more about height of kite above the ground here:

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