Question

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

Answer 1

Answer:

$x=67.5\ ft$

Step-by-step 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

$\frac{MB}{MP}=\frac{MA}{MN}$

substitute the values

$\frac{x}{97.5}=\frac{71.5-22}{71.5}$

$\frac{x}{97.5}=\frac{49.5}{71.5}$

$x=97.5*\frac{49.5}{71.5}=67.5\ ft$