Answer:
Option C. 3√3
Step-by-step explanation:
Please see attached photo for brief explanation.
In the attached photo, we obtained the following:
Opposite = a
Adjacent = 3
Hypothenus = 6
Angle θ = 60°
We can obtain the value of 'a' as follow:
Tan θ = Opposite /Adjacent
Tan 60° = a/3
Cross multiply
a = 3 x Tan 60°
But: Tan 60° = √3
a = 3 x Tan 60°
a = 3 x √3
a = 3√3
Therefore, the length of the altitude of the equilateral triangle is 3√3.
Answer:
Length of garden will be 30 metres.
Step-by-step explanation:
Let the Width of garden be x metres.
then,
Length of garden will be (x+6) metres.
Area = Length × Breadth
720 = x X (c+6)
720 = x²+6x
0 = x²+6x-720
As we can see above equation is a quadratic equation in the form of ax²+bx+C.
so,
One of the Roots of the Quadratic equation is 24 and other is -30.
And as we know width of any garden cannot be negative so the width of garden will be 24 metres.
As we got the width,
adding 6 to it will give us the Length,
So,
24 metres + 6 = 30 metres.
Length of the garden is 30 metres.
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