BIU A
1 answer:
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<u>Given</u>:
Given that the triangle ABC is similar to triangle FGH.
We need to determine the value of x.
<u>Value of x:</u>
Since, the triangles are similar, then their sides are proportional.
Thus, we have;
Let us consider the proportion to determine the value of x.
Substituting AB = 9 cm, GF = 13.5 cm, BC = 15 cm and GH = x, we get;
Cross multiplying, we get;
Thus, the value of x is 22.5 cm
Hence, Option F is the correct answer.
The ball describes a parabola, as you can see in the attached picture. So, the point where the ball strike the ground is the point where the parabola meets the x axis. In fact, the x-axis is the set of points where y=0, which means that the ball has height 0 or -again- it hits the ground.
So, we have to set y=0 in our equation and look for the positive solution. We have
And the positive solution is
So that's the distance from the child where the ball strikes the ground.
<h2>The value of 
= 
</h2>
Step-by-step explanation:
We have,
To find, the value of = ?
∴
=
=
Using the identity,
=
=
Thus, the value of =