Question

Please answer now What is the value of x? Enter your answer, as a decimal, in the box. Enter the numerical value only.

Answer 1

67.5 ft

Explanation:

You want the length of x=MB in triangle MAB similar to triangle MNP with MN=71.5 ft, AN=22 ft, MP=97.5 ft, and AB║NP with A on MN and B on MP.

Proportion

Corresponding sides of similar triangles are proportional, so we can write the proportion ...

MB/MA = MP/MN

x/(71.5 -22) = 97.5/71.5

x = 49.5×97.5/71.5 . . . . . . multiply by 49.5

x = 67.5 . . . . . . feet