Question

an aerial camera is suspended from a blimp and positioned at d. the camera needs to cover 125 meters of ground distance and will be flown at an altitude of 75 meters. if the camera attachment to the blimp is 20 meters in length, how low should the camera hang from the blimp, from g to d? image of blimp and triangle diagram with 20m, 75m, 125m options: 11 m, 10 m, 12 m, 33.3 m

Explanation:

Step1: Identify Similar Triangles

We have two similar triangles: one formed by the camera's ground coverage (base \(125\) m, height \(75\) m) and another formed by the attachment (base \(20\) m, height \(h\) which is the distance from \(G\) to \(D\)). By the property of similar triangles, the ratios of corresponding sides are equal. So, \(\frac{h}{20}=\frac{75}{125}\).

Step2: Solve for \(h\)

Cross - multiply the proportion: \(125h = 20\times75\). Then, \(125h=1500\). Divide both sides by \(125\): \(h=\frac{1500}{125}=12\).

Answer:

\(12\) meters (corresponding to the option with \(12\) m)