Question

a new bridge structure requires triangles that are in a ratio of 1:1. if ac = 5x - 5 and ec = 3x + 9, find the distance between the top and bottom. question 9 (multiple choice worth 1 points) (05.03 mc) an aerial camera is suspended from a blimp positioned at point d. it hangs at an altitude of 125 meters. if the camera hangs 10 meters below the blimp attachment is 20 meters in length, how much ground distance from a to c can the aerial camera cover?

Explanation:

Step1: Set up the equation

Since the triangles are in a 1:1 ratio, $AC = EC$. So we set up the equation $5x - 5=3x + 9$.

Step2: Solve for x

Subtract $3x$ from both sides: $5x-3x - 5=3x-3x + 9$, which simplifies to $2x-5 = 9$. Then add 5 to both sides: $2x-5 + 5=9 + 5$, getting $2x=14$. Divide both sides by 2: $x = 7$.

Step3: Find the length of AC

Substitute $x = 7$ into the expression for $AC$. $AC=5x - 5=5\times7-5=35 - 5=30$.

Answer:

30 ft