SOLUTION: Part a. A kite is tethered to a stake in the ground by a string 40ft. long, which makes an angle of 60 degrees with the ground. How high is the Kite? Part b. If the kite fell vert

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Question 1194050: Part a. A kite is tethered to a stake in the ground by a string 40ft. long, which makes an angle of 60 degrees with the ground. How high is the Kite?
Part b. If the kite fell vertically to the ground, how far away from the stake would the kite land?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

You have  (30°-60°-90°) right angled triangle.


Its hypotenuse is c = 40 ft (given).


Its longer leg is   =  ft.   Use your calculator to get the value.


Its shorter leg is  half the hypotenuse, i.e. 40/2 = 20 ft.

Solved and explained.



Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


The words describe a 30-60-90 right triangle with the kite string the hypotenuse, the height of the kite the long leg, and the distance from the stake to the place the kite would land if it fell the short leg.

Use the well-known relationships between the lengths of the sides:
The short leg is half the length of the hypotenuse
The long leg is square root of 3 times the short leg

Easy calculations, which I leave to you.
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