Answer:
The camera should low by 12 meters
Step-by-step explanation:
* Lets explain how to solve the problem
- From the figure:
# The length of the camera is represented by FE
∴ EF = 20 meters
# The ground distance covered by the camera represented by AC
∴ AC = 125 meters
# The camera will be flown at an altitude represented by DB
∴ DB = 75 meters
# The altitude should the camera hanged below the blimp
represented by GD
∴ Find the length of GD
* Lets solve the problem
- In the two triangles ADC and EDF
∵ EF // AC
∴ m∠A = m∠E ⇒ alternate angles
∴ m∠C = m∠F ⇒ alternate angles
∵ m∠ADC = m∠EDF ⇒ vertical angles
∴ Δ ADC ≈ Δ EDF ⇒ AAA similarity
∴ Their corresponding sides are proportions
∴ AC/EF = AD/ED = CD/FD = constant ratio
∵ AC = 125 and EF = 20
∴ The constant ratio is 125/20 = 25/4
∵ Their Altitudes have the same ratio of their corresponding sides
∵ BD is the altitude of Δ ADC and GD is the altitude of Δ EDF
∴ BD/GD = 25/4
∵ BD = 75
∴ 75/GD = 25/4
- Use cross multiplication to find GD
∴ 25 GD = (75)(4)
∴ 25 GD = 300
- Divide both sides by 25
∴ GD = 12
∴ The camera should low by 12 meters
