What is the measure of angle A in the triangle? m∠A = ___°
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Answer:
Kite is 89.52 ft off the ground
Step-by-step explanation:
We are told that the string is 200 ft long.
That the string is 5 ft off the ground at an angle of 25° to the horizontal.
I have drawn a triangle to depict this illustration with x being the height of the kite from the end of the string.
Also, I have depicted the ground level which is 5 ft below the end of the string.
From the triangle, we can calculate the height of the kite above the end of the string using pythagoras theorem.
x/200 = sin 25
x = 200 sin 25
x = 200 × 0.4226
x = 84.52 ft
Now, the bottom of the kite is 5 ft off the ground as depicted in the attachment.
Thus, height of kite above the ground = 84.52 + 5 = 89.52 ft
