The temple at the top of the pyramid is approximately 24 meters above ground, and there are 91 steps leading up to the temple. How high above the ground would you be if you were standing on the 80th step. PLEASE ANSWER QUICK!!!

Respuesta :

Answer:

21.10 m

Step-by-step explanation:

Given:

Height of the temple above ground is, [tex]H=24\ m[/tex]

Total number of steps is, [tex]N=91[/tex]

Let us assume that each step is of same height, then the height of each step is given as:

[tex]\textrm{Each step height}=\frac{Total\ Height}{Total\ steps}=\frac{H}{N}=\frac{24}{91}\ m[/tex]

Now, height corresponding to 1 step = [tex]\frac{24}{91}\ m[/tex]

∴ Height corresponding to 80 steps = [tex]\frac{24}{91}\times 80=\frac{24\times 80}{91}=21.10\ m[/tex]

So, I would be at a height of 21.10 m above the ground at the [tex]80^{th}[/tex] step.