Answer: Height of tree = 26 ft
Make a triangle ABC with 40 degrees angle. The shadow is the base of the triangle equals 31 feet.
Base = AC = 31
Perpendicular = CB = ?
Hypotenuse = AB
Using trigonometric equation
tan 40 (deg) = CB / AC
CB = Tan 40 x AC
CB = 0.83909 x 31
CB = 26.011
Thus the height of the tree = 26 ft
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Step-by-step explanation:
Answer:
x = -9
Step-by-step explanation:
6x + 6 = 3x – 21
Subtract 3x from each side
6x-3x + 6 = 3x-3x – 21
3x+6 = -21
Subtract 6 from each side
3x+6-6 = -21-6
3x = -27
Divide by 3
3x/3 = -27/3
x = -9