Question

If a 12-meter-tall airplane hangar casts a 18-meter shadow at the same time a parked jet casts a 6-meter shadow , how tall is the jet?

Answer 1

The height of the jet is 4 meters.

Step-by-step explanation:

To solve this problem, we can use similar triangles. The height of the airplane hangar and the length of its shadow form one pair of corresponding sides, while the height of the jet and the length of its shadow form the other pair. Since the ratio of corresponding sides in similar triangles is equal, we can set up the following proportion:

12m / 18m = x / 6m

Cross-multiplying, we get:

18x = 72

Dividing both sides by 18, we find that x = 4m.

Therefore, the height of the jet is 4 meters.

Answer 2

Given
12 meters tall airplane
18 meter shadow of airplane
6 meter shadow of jet
Find the measurement of the jet (y)
Solution
6y = 12 + 18 30
----- --------- ----> y = ------- -----------> y= 5
6 6 6

The answer is 5 meters tall is the measurement of a parked jet.