Question

+ 11) A boy 6ft. tall casts a shadow 10 ft. long. Find the height of a flag pole that casts a shadow 85 ft. long.

Answer 1

51 feet

Step-by-step explanation:

height of boy = 6 ft

shadow of boy = 10 ft

let the height of flag pole = y

shadow of the pole = 85 ft

height of boy/shadow of boy = height of flag/ shadow of flag

`(6)/(10)=(y)/(85)`

cross multiply:

6(85) = y(10)

510 = 10y

DIvide both sides by 10:

510/10 = 10y/10

y = 51

Hence, the height of a flag pole that casts a shadow of 85 ft. long is 51 feet