SOLUTION: A kite has a string 100 m long anchored to the ground. The string makes an angle with the ground of 65 degrees. What is the horizontal distance of the kite from the anchor?

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Question 1037262: A kite has a string 100 m long anchored to the ground. The string makes an angle with the ground of 65 degrees. What is the horizontal distance of the kite from the anchor?
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Consider the question as a
right angled triangle:
Length of string = hypotenuse.
Base of triangle = Distance
from anchor to below the kite.= Adjacent side
Height of kite above ground = Opposite side.
Using Trig Ratios (SOHCAHTOA)
Adjacent side =
Cos(65) = Adjacent/ Hypotenuse
Cos(65) = Adjacent/100
Adjacent = Cos(65) x 100
Adjacent = 42.26 m (2 decimal places)
Height => Sin(65) = Opposite/Hypotenuse
Sin(65) = Opposite/100
Opposite = Sin(65) x 100
Opposite = 90.63 m (2 decimal places)
Horizontal distance = 42.26 m
Vertical Distance = 90.63 m
Hope this helps :-)