A 4-ft vertical post casts a 12-in shadow at the same time a nearby cell phone tower casts a 118-ft shadow. How tall is the c

Question

prohojiy [21]

2 years ago

5

A 4-ft vertical post casts a 12-in shadow at the same time a nearby cell phone tower casts a 118-ft shadow. How tall is the c

ell phone tower?

Mathematics

2 answers:

azamat · Answer 1 · 2022-05-24T03:14:33+03:00

azamat2 years ago

7 0

Answer:

6 ft

Step-by-step explanation:

stiv31 [10] · Answer 2 · 2022-05-24T00:58:28+03:00

Answer:

height of vertical post = 6ft

its shadow = 20 in

For all shadows cast at the same time, the ratio of the height of a shadow-casting structure to the length of its shadow is the same. (Assuming, of course, that it's the sun casting the shadows.)

So the ratio is

4 feet / 12 inches = 4 feet / 1 foot = 4/1 = 4,

and if h is the height of the cell tower,

h/122 feet = 4

h = 4 x 122 feet = 488 feet. <---------------- Final answer

Hope I helped,

-Adrian Velez

Step-by-step explanation:

A 4​-ft vertical post casts a 12​-in shadow at the same time a nearby cell phone tower casts a 118​-ft shadow. How tall is the c

A 4-ft vertical post casts a 12-in shadow at the same time a nearby cell phone tower casts a 118-ft shadow. How tall is the c