Question

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.

Answer 1

Function
`sin(60^o)\,\,s=h`

Height of an equilateral angle of side length 88m:
`76.21\,m=h`

Explanation:

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

`sin(\theta)=(O)/(H)`

`sin(60^o)=(h)/(s)`

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

`sin(60^o)\,\,s=h`

As we know that s=88m we have

`sin(60^o)\,\,88m=h`
`(√(3))/(2)88m=h`

`44\sqrt3 \,m=h`

`76.21\,m=h`