algebra word problem?
A pole that is 2.5m tall casts a shadow that is 1.56m long. At the same time, a nearby tower casts a shadow that is 37.25m long. How tall is the tower? Round your answer to the nearest meter.
A pole that is 2.5m tall casts a shadow that is 1.56m long. At the same time, a nearby tower casts a shadow that is 37.25m long. How tall is the tower? Round your answer to the nearest meter.
Comments
Assuming that the two towers are in the same plane, we then have a simple ratio problem.
==> length/shadow = length/shadow
==> 2.5/1.56=x/37.25 <--- cross-multiply;
==> 37.25*2.5 = x*1.56
==> 93.125 / 1.56 =x
==> x= 59.695 meters high.
Answer: 59.695 meters.
Same solution method as the other pole and building. You ought to be equipped now to do them both.
2.5 / 1.56 = x / 37.25
CROSS MULTIPLY
1.56x = 2.5 X 37.25
x = 2.5 X 37.25 / 1.56 = 59.695512 m ANSWER
59.7m