Height of the triangle is 5 m.
Explanation
Formula for the area of a triangle....
![A= (1)/(2)(base)*(height)](https://img.qammunity.org/2019/formulas/mathematics/high-school/zt70jyg6vbnwslfgjzj7idcxmx6qpxydh6.png)
Given that the triangle has base 7 m and area 17.5 m².
Lets assume the height of the triangle as
According to the above formula...
![17.5=(1)/(2)(7)*(h)\\ \\ 17.5*2=7h\\ \\ 35=7h\\ \\ h= (35)/(7)=5](https://img.qammunity.org/2019/formulas/mathematics/high-school/co4qztzf4dzqacv0dr00f4p40r2b63ks04.png)
So, the height of the triangle is 5 m.