Answer:
Step-by-step explanation:
In any triangle, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse (longest side) of the triangle. (a/h)
The angle marked 40 degrees has an adjacent side of and the hypotenuse of the triangle is 60.
Therefore, we have the equation:
Answer:
104.127 m
Step-by-step explanation
In the question instead of chi, it would be kite.
Given: Distance of Brooke from the base of tree is 50 meters.
The kite is directly above the 10 m tree in the 125 m string is fully extended.
Lets assume the height of the kite be "x".
Its making the Right angle triangle with length of string as hypotenuse, height of kite above tree.
Using Pythagorean formula:
h²= a²+b²
⇒
⇒
⇒
Subtracting both side by 2500
⇒
Square rooting both side, we know√a²=a
⇒
∴ x= 114.127 meter.
Next, we know the value of x include the height of tree.
∴ Height of kite flying above tree=
⇒ Height of kite flying above tree=
Hence, the height of kite above the tree is 104.127 meters.