A 2-ft vertical post casts a 20-in shadow at the same time a nearby cell phone tower casts a 125-ft shadow. How tall is the c

Question

3 years ago

11

ell phone tower?

1 answer:

chubhunter [2.5K] · Answer 1 · 2022-07-06T18:24:36+03:00

Answer:

1249. 5 inches

Step-by-step explanation:

Pole length , Pl = 2 fts

Pole shadow, Ps = 20 in = (0.0833 * 20) = 1.666 ft

Tower length, Tl = 125 ft

Tower shadow, Ts = x

Pl / Ps = Tl/ Ts

2/ 1.666 = 125 / x

Cross multiply

2x = 125 * 1.666

2x = 208.25

x = 104.125 ft

x = 104.125 * 12 = 1249. 5 inches

A 2​-ft vertical post casts a 20​-in shadow at the same time a nearby cell phone tower casts a 125​-ft shadow. How tall is the c