Write a formula for the function and use the formula to find the indicated value of the function. The height h of an equilateral triangle as a function of its side length​ s; the height of an equilateral triangle of side length 88 m.

Respuesta :

Answer:

Function [tex]sin(60^o)\,\,s=h[/tex]

Height of an equilateral angle of side length 88m: [tex]76.21\,m=h[/tex]

Step-by-step explanation:

An equilateral triangle has 3 equal sides and 3 equal angles. The height of the triangle could be expressed as:

[tex]sin(\theta)=\frac{O}{H}[/tex]

[tex]sin(60^o)=\frac{h}{s}[/tex]

Moving s to the other side we find the function for the height:

[tex]sin(60^o)\,\,s=h[/tex]

As we know that s=88m we have

[tex]sin(60^o)\,\,88m=h[/tex][tex]\frac{\sqrt{3}}{2}88m=h[/tex]

[tex]44\sqrt3 \,m=h[/tex]

[tex]76.21\,m=h[/tex]