Question

See the attached picture.

Answer 1

Answer:

67.5 ft

Step-by-step Explanation:

==>Given:

∆MAB and ∆MNP, such that:

AB is parallel to NP

MN and MP are transversal

MN = 71.5 ft

MP = 97.5 ft

AN = 22ft

MA = MP - AN = 71.5 - 22 = 49.5 ft

MB = x

==>Required:

Value of x

==>Solution:

From the figure given, since AB is parallel to NP, and MN and MP are transversal, thus:

<MAB is congruent to <MNP

<MBA is congruent to <MPN

This implies that ∆MAB is similar to ∆MNP

Therefore, the ratio of their corresponding sides would be the same, and also proportional.

Thus,

MA/MN = MB/MP

49.5/71.5 = x/97.5

=>Cross multiply to solve for x

49.5 × 97.5 = x × 71.5

4,826.25 = 71.5x

=>Divide both sides by 71.5

4,826.25/71.5 = x

67.5 = x

x = 67.5 ft