Which expression represents the height of the triangular base of the pyramid?

Mathematics

2 answers:

coldgirl [10]3 years ago

8 0

The angle in the triangle = 60 degrees

so tan 60 = h / (1/2) s = 2h /s
sqrt3 = 2h / s

h = sqrt3 s / 2

B is the correct choice

madreJ [45]3 years ago

3 0

Answer:

Option B. is the correct option.

Step-by-step explanation:

Triangular base of the pyramid is an equilateral triangle. So, every angle of the triangle will be 60°

Length of the edge of this triangular base is S. In the figure attached we can see an equilateral triangle ABC with a side S and every angle = 60°

Now in ΔABC

tan60° = $\frac{Height}{Base}$

√3 = $\frac{AD}{\frac{S}{2}}$

AD = $\sqrt{3}(\frac{S}{2})=\frac{S\sqrt{3}}{2}$

Therefore, Option B. $\frac{S\sqrt{3}}{2}$ is the correct option.

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Step-by-step explanation:

Since we have given that

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Using "Unitary method, we get that

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We put y = 400 and i = 3.5 hours to check whether it is equal or not.

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Hence, Serena can't paint 400 square feet of wall space of wall space in 3.5 hours.

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