In the diagram below, OPQ ~ RPS. Find t.
(QPO lengths: 16 ft, t)
(SRP lengths: 51 ft, 24 ft)
To find the value of t, we can set up a proportion between the corresponding sides of the similar triangles OPQ and RPS.
From the given information, we have:
OP = 16 ft, PQ = t, SR = 51 ft, and SP = 24 ft.
Setting up the proportion:
OP/OQ = RP/RS
16/t = 24/51
Cross multiplying:
16 * 51 = t * 24
t = (16 * 51) / 24
t = 34 ft
Therefore, the length of segment PQ (t) is 34 ft.