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

Question

asked May 10, 2020 4.6k views

1 Answer

ConfusedWarrior · Answer 1 · 2020-05-15T01:13:56+0000

Answer:

$x=67.5\ ft$

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)

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