Question

What is the value of x ?enter your answer as a decimal in the box

Answer 1

`x=67.5\ ft`

Explanation:

we know that

Triangles MNP and MAB are similar by AAA theorem

If two figures are similar, then the ratio of its corresponding sides is equal

so

`(MB)/(MP)=(MA)/(MN)`

substitute the values

`(x)/(97.5)=(71.5-22)/(71.5)`

`(x)/(97.5)=(49.5)/(71.5)`

`x=97.5*(49.5)/(71.5)=67.5\ ft`