Answer:44 ft
Explanation:
Convert all measurements to a single unit, inches, using the fact that 1 foot is equal to 12 inches.
MN=(26⋅12) in.
Simplify.
MN=312 in.
QR=(3⋅12) in.+3 in.
Simplify.
QR=39 in.
PQ=(5⋅12) in.+6 in.
Simplify.
PQ=66 in.
LN and PR are parallel because the rays of the Sun that form them are parallel. Therefore, the angles they form with the ground
are congruent: ∠N≅∠R
∠M≅∠Q by the Right Angle Congruence Theorem.
Therefore, by the Angle-Angle Similarity △LMN~△PQR
Find LM . Set up a proportion with the lengths of the known sides and the unknown length (height of the building).
PQ/QR=LM/MN
Substitute the values.
66/39=h/312
Cross multiply.
39h=66(312)
Simplify.
39h=20592
Divide both sides by 39 .
h=528
Therefore, the height of the building is 528 in., or 44 ft.