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Answer:
Fir trees are 9 meters and the pine trees are 12 meters tall.
Step-by-step explanation:
Let the height of the fir tree = x and the height of the pine tree = y (in meters).
It is given that the combined height of both the trees is 21 meters.
That is,
Also, the height of 4 fir trees is 24 meters more than that of the pine tree.
That is, i.e.
So, we get the system of equations,
x+y=21
4x-y=24
Adding both the equations, gives us,
5x = 45 i.e. x= 9.
So, x+y=21 ⇒ y= 21 - x ⇒ y= 21 - 9 ⇒ y= 12.
Thus, the fir trees are 9 meters tall and the pine trees are 12 meters tall.
The solution of this question will make use of the Two Tangents from Point Theorem which states that "the measure of an angle formed by two tangents drawn from a point outside the circle is half the the difference of the intercepted arcs".
We can also see that the measure of arcs are: and
Thus, as per the theorem, the measure of the can be calculated as:
Therefore, we get:
Thus, out of the given options, option B is the correct option.