Question

1. in the figure, △abd is similar to △ecd. what is the height h of the drone when it is 8 feet from the cell phone tower?

Explanation:

Step1: Set up proportion from similar - triangles

Since $\triangle ABD\sim\triangle ECD$, the ratios of corresponding sides are equal. Let the height of the tower be $H = 114$ ft and the distance from the tower to the point on the ground corresponding to the drone be $x = 8$ ft. The ratio of the height to the base of $\triangle ABD$ is the same as the ratio of the height to the base of $\triangle ECD$. So, $\frac{h}{8}=\frac{114}{1}$.

Step2: Solve for $h$

Cross - multiply the proportion $\frac{h}{8}=\frac{114}{1}$ to get $h=114\times8$.
$h = 912$

Answer:

$912$ ft